\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  24.0 & -7.00 x_{1} & -7.00 x_{2} & -5.00 x_{3} & -7.00 x_{4} & +  5.00 x_{5} & -10.00 x_{6} & -9.00 x_{7} & +  6.00 x_{8} & +  2.00 x_{9} & -9.00 x_{10} & -1.00 x_{11} & +  4.00 x_{12} & +  7.00 x_{13} & -6.00 x_{14} & +  4.00 x_{15}\\
 x_{17}   &  64.0 & +  2.00 x_{1} & -1.00 x_{2} & +  6.00 x_{3} & -1.00 x_{4} & +  6.00 x_{5} & -2.00 x_{6} & +  2.00 x_{7} & -6.00 x_{8} & -10.00 x_{9} & -4.00 x_{10} & -4.00 x_{11} & -5.00 x_{12} & -7.00 x_{13} & -6.00 x_{14} & -3.00 x_{15}\\
 x_{18}   &  -11.0 & -9.00 x_{1} & +  4.00 x_{2} & +  9.00 x_{3} & +  4.00 x_{4} & +  8.00 x_{5} & +  9.00 x_{6} & +  2.00 x_{7} & +  7.00 x_{8} & -5.00 x_{9} & -6.00 x_{10} & +  1.00 x_{11} & +  7.00 x_{12} & -1.00 x_{13} & +  6.00 x_{14} &   \\
 x_{19}   &  -10.0 & +  1.00 x_{1} &    &   & -1.00 x_{4} & -2.00 x_{5} & +  5.00 x_{6} & -6.00 x_{7} & +  2.00 x_{8} & +  5.00 x_{9} & -7.00 x_{10} & -4.00 x_{11} & + 10.00 x_{12} & -3.00 x_{13} & +  2.00 x_{14} & + 10.00 x_{15}\\
 x_{20}   &  52.0 & -4.00 x_{1} & -1.00 x_{2} & -1.00 x_{3} & -9.00 x_{4} & -7.00 x_{5} & +  9.00 x_{6} & + 10.00 x_{7} & -10.00 x_{8} & -9.00 x_{9} & -7.00 x_{10} & +  9.00 x_{11} & -5.00 x_{12} & -6.00 x_{13} & -3.00 x_{14} & -4.00 x_{15}\\
 x_{21}   &  -8.0 & -1.00 x_{1} &   & -1.00 x_{3} & +  2.00 x_{4} & -8.00 x_{5} & +  2.00 x_{6} & +  8.00 x_{7} & -5.00 x_{8} & + 10.00 x_{9} & -3.00 x_{10} & + 10.00 x_{11} & +  4.00 x_{12} & + 10.00 x_{13} & -8.00 x_{14} & -3.00 x_{15}\\
 x_{22}   &  14.0 & +  1.00 x_{1} & +  9.00 x_{2} & +  5.00 x_{3} & -6.00 x_{4} & -9.00 x_{5} & +  4.00 x_{6} & + 10.00 x_{7} & +  4.00 x_{8} & +  4.00 x_{9} & -6.00 x_{10} & -9.00 x_{11} & +  2.00 x_{12} & -1.00 x_{13} & -7.00 x_{14} & +  5.00 x_{15}\\
 x_{23}   &  -12.0 & + 10.00 x_{1} & -9.00 x_{2} & +  8.00 x_{3} & -3.00 x_{4} & +  8.00 x_{5} & -6.00 x_{6} & +  2.00 x_{7} & -5.00 x_{8} & -3.00 x_{9} & +  9.00 x_{10} & +  8.00 x_{11} & -7.00 x_{12} & +  7.00 x_{13} & -2.00 x_{14} & +  3.00 x_{15}\\
 x_{24}   &  9.0 & -10.00 x_{1} & +  5.00 x_{2} & -1.00 x_{3} & -9.00 x_{4} & -6.00 x_{5} & -10.00 x_{6} & -1.00 x_{7} & -2.00 x_{8} & -2.00 x_{9} &   & +  1.00 x_{11} & -5.00 x_{12} & + 10.00 x_{13} & +  7.00 x_{14} & -4.00 x_{15}\\
 x_{25}   &  19.0 & +  4.00 x_{1} & -5.00 x_{2} & +  4.00 x_{3} & +  8.00 x_{4} & -5.00 x_{5} & +  9.00 x_{6} & -3.00 x_{7} & + 10.00 x_{8} & -3.00 x_{9} & -3.00 x_{10} & +  6.00 x_{11} & +  7.00 x_{12} & -10.00 x_{13} & -5.00 x_{14} & +  1.00 x_{15}\\
 x_{26}   &  35.0 & -5.00 x_{1} & +  5.00 x_{2} & +  3.00 x_{3} & -2.00 x_{4} & -9.00 x_{5} &   & -4.00 x_{7} & +  3.00 x_{8} & +  5.00 x_{9} & -2.00 x_{10} & -7.00 x_{11} & -10.00 x_{12} & +  9.00 x_{13} & -4.00 x_{14} & +  7.00 x_{15}\\
 x_{27}   &  -18.0 & +  4.00 x_{1} & -6.00 x_{2} & -8.00 x_{3} & +  6.00 x_{4} & -9.00 x_{5} & + 10.00 x_{6} & +  9.00 x_{7} &   & +  3.00 x_{9} & -1.00 x_{10} & -4.00 x_{11} & -2.00 x_{12} & +  7.00 x_{13} & +  2.00 x_{14} & +  1.00 x_{15}\\
 x_{28}   &  -16.0 & -6.00 x_{1} & +  5.00 x_{2} & -8.00 x_{3} & +  2.00 x_{4} & +  7.00 x_{5} & -2.00 x_{6} & +  1.00 x_{7} & -6.00 x_{8} & -4.00 x_{9} & +  4.00 x_{10} & -4.00 x_{11} & -5.00 x_{12} & +  6.00 x_{13} & +  6.00 x_{14} & +  2.00 x_{15}\\
 x_{29}   &  -11.0 & -10.00 x_{1} &   & +  6.00 x_{3} & -10.00 x_{4} & -10.00 x_{5} & +  6.00 x_{6} & +  7.00 x_{7} & -5.00 x_{8} & +  7.00 x_{9} & -3.00 x_{10} & +  3.00 x_{11} & +  6.00 x_{12} & +  2.00 x_{13} & -3.00 x_{14} & +  9.00 x_{15}\\
 x_{30}   &  -32.0 & +  6.00 x_{1} & +  5.00 x_{2} & -3.00 x_{3} & +  2.00 x_{4} & +  6.00 x_{5} & -1.00 x_{6} & +  1.00 x_{7} & +  5.00 x_{8} & -3.00 x_{9} & -3.00 x_{10} & +  6.00 x_{11} & +  6.00 x_{12} & -7.00 x_{13} & -9.00 x_{14} & + 10.00 x_{15}\\
 x_{31}   &  34.0 & +  1.00 x_{1} & -2.00 x_{2} & + 10.00 x_{3} & +  4.00 x_{4} & +  5.00 x_{5} & +  1.00 x_{6} & +  1.00 x_{7} & -2.00 x_{8} & + 10.00 x_{9} & +  1.00 x_{10} & -1.00 x_{11} & -10.00 x_{12} & -1.00 x_{13} & -5.00 x_{14} & -3.00 x_{15}\\
\hline
z    &  0.0 & -2.00 x_{1} & -2.00 x_{2} & -5.00 x_{3} & -5.00 x_{4} & +  4.00 x_{5} & -1.00 x_{6} &   & -2.00 x_{8} & +  3.00 x_{9} & -2.00 x_{10} & +  1.00 x_{11} & -1.00 x_{12} & +  5.00 x_{13} & +  5.00 x_{14} & -1.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,31$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  7.00 y_{16} & -2.00 y_{17} & +  9.00 y_{18} & -1.00 y_{19} & +  4.00 y_{20} & +  1.00 y_{21} & -1.00 y_{22} & -10.00 y_{23} & + 10.00 y_{24} & -4.00 y_{25} & +  5.00 y_{26} & -4.00 y_{27} & +  6.00 y_{28} & + 10.00 y_{29} & -6.00 y_{30} & -1.00 y_{31}\\
 y_{2}   &  1.0 & +  7.00 y_{16} & +  1.00 y_{17} & -4.00 y_{18} &   & +  1.00 y_{20} &   & -9.00 y_{22} & +  9.00 y_{23} & -5.00 y_{24} & +  5.00 y_{25} & -5.00 y_{26} & +  6.00 y_{27} & -5.00 y_{28} &   & -5.00 y_{30} & +  2.00 y_{31}\\
 y_{3}   &  1.0 & +  5.00 y_{16} & -6.00 y_{17} & -9.00 y_{18} &   & +  1.00 y_{20} & +  1.00 y_{21} & -5.00 y_{22} & -8.00 y_{23} & +  1.00 y_{24} & -4.00 y_{25} & -3.00 y_{26} & +  8.00 y_{27} & +  8.00 y_{28} & -6.00 y_{29} & +  3.00 y_{30} & -10.00 y_{31}\\
 y_{4}   &  1.0 & +  7.00 y_{16} & +  1.00 y_{17} & -4.00 y_{18} & +  1.00 y_{19} & +  9.00 y_{20} & -2.00 y_{21} & +  6.00 y_{22} & +  3.00 y_{23} & +  9.00 y_{24} & -8.00 y_{25} & +  2.00 y_{26} & -6.00 y_{27} & -2.00 y_{28} & + 10.00 y_{29} & -2.00 y_{30} & -4.00 y_{31}\\
 y_{5}   &  1.0 & -5.00 y_{16} & -6.00 y_{17} & -8.00 y_{18} & +  2.00 y_{19} & +  7.00 y_{20} & +  8.00 y_{21} & +  9.00 y_{22} & -8.00 y_{23} & +  6.00 y_{24} & +  5.00 y_{25} & +  9.00 y_{26} & +  9.00 y_{27} & -7.00 y_{28} & + 10.00 y_{29} & -6.00 y_{30} & -5.00 y_{31}\\
 y_{6}   &  1.0 & + 10.00 y_{16} & +  2.00 y_{17} & -9.00 y_{18} & -5.00 y_{19} & -9.00 y_{20} & -2.00 y_{21} & -4.00 y_{22} & +  6.00 y_{23} & + 10.00 y_{24} & -9.00 y_{25} &   & -10.00 y_{27} & +  2.00 y_{28} & -6.00 y_{29} & +  1.00 y_{30} & -1.00 y_{31}\\
 y_{7}   &  1.0 & +  9.00 y_{16} & -2.00 y_{17} & -2.00 y_{18} & +  6.00 y_{19} & -10.00 y_{20} & -8.00 y_{21} & -10.00 y_{22} & -2.00 y_{23} & +  1.00 y_{24} & +  3.00 y_{25} & +  4.00 y_{26} & -9.00 y_{27} & -1.00 y_{28} & -7.00 y_{29} & -1.00 y_{30} & -1.00 y_{31}\\
 y_{8}   &  1.0 & -6.00 y_{16} & +  6.00 y_{17} & -7.00 y_{18} & -2.00 y_{19} & + 10.00 y_{20} & +  5.00 y_{21} & -4.00 y_{22} & +  5.00 y_{23} & +  2.00 y_{24} & -10.00 y_{25} & -3.00 y_{26} &   & +  6.00 y_{28} & +  5.00 y_{29} & -5.00 y_{30} & +  2.00 y_{31}\\
 y_{9}   &  1.0 & -2.00 y_{16} & + 10.00 y_{17} & +  5.00 y_{18} & -5.00 y_{19} & +  9.00 y_{20} & -10.00 y_{21} & -4.00 y_{22} & +  3.00 y_{23} & +  2.00 y_{24} & +  3.00 y_{25} & -5.00 y_{26} & -3.00 y_{27} & +  4.00 y_{28} & -7.00 y_{29} & +  3.00 y_{30} & -10.00 y_{31}\\
 y_{10}   &  1.0 & +  9.00 y_{16} & +  4.00 y_{17} & +  6.00 y_{18} & +  7.00 y_{19} & +  7.00 y_{20} & +  3.00 y_{21} & +  6.00 y_{22} & -9.00 y_{23} &   & +  3.00 y_{25} & +  2.00 y_{26} & +  1.00 y_{27} & -4.00 y_{28} & +  3.00 y_{29} & +  3.00 y_{30} & -1.00 y_{31}\\
 y_{11}   &  1.0 & +  1.00 y_{16} & +  4.00 y_{17} & -1.00 y_{18} & +  4.00 y_{19} & -9.00 y_{20} & -10.00 y_{21} & +  9.00 y_{22} & -8.00 y_{23} & -1.00 y_{24} & -6.00 y_{25} & +  7.00 y_{26} & +  4.00 y_{27} & +  4.00 y_{28} & -3.00 y_{29} & -6.00 y_{30} & +  1.00 y_{31}\\
 y_{12}   &  1.0 & -4.00 y_{16} & +  5.00 y_{17} & -7.00 y_{18} & -10.00 y_{19} & +  5.00 y_{20} & -4.00 y_{21} & -2.00 y_{22} & +  7.00 y_{23} & +  5.00 y_{24} & -7.00 y_{25} & + 10.00 y_{26} & +  2.00 y_{27} & +  5.00 y_{28} & -6.00 y_{29} & -6.00 y_{30} & + 10.00 y_{31}\\
 y_{13}   &  1.0 & -7.00 y_{16} & +  7.00 y_{17} & +  1.00 y_{18} & +  3.00 y_{19} & +  6.00 y_{20} & -10.00 y_{21} & +  1.00 y_{22} & -7.00 y_{23} & -10.00 y_{24} & + 10.00 y_{25} & -9.00 y_{26} & -7.00 y_{27} & -6.00 y_{28} & -2.00 y_{29} & +  7.00 y_{30} & +  1.00 y_{31}\\
 y_{14}   &  1.0 & +  6.00 y_{16} & +  6.00 y_{17} & -6.00 y_{18} & -2.00 y_{19} & +  3.00 y_{20} & +  8.00 y_{21} & +  7.00 y_{22} & +  2.00 y_{23} & -7.00 y_{24} & +  5.00 y_{25} & +  4.00 y_{26} & -2.00 y_{27} & -6.00 y_{28} & +  3.00 y_{29} & +  9.00 y_{30} & +  5.00 y_{31}\\
 y_{15}   &  1.0 & -4.00 y_{16} & +  3.00 y_{17} &   & -10.00 y_{19} & +  4.00 y_{20} & +  3.00 y_{21} & -5.00 y_{22} & -3.00 y_{23} & +  4.00 y_{24} & -1.00 y_{25} & -7.00 y_{26} & -1.00 y_{27} & -2.00 y_{28} & -9.00 y_{29} & -10.00 y_{30} & +  3.00 y_{31}\\
\hline
z    &  -0 & -24.00 y_{16} & -64.00 y_{17} & + 11.00 y_{18} & + 10.00 y_{19} & -52.00 y_{20} & +  8.00 y_{21} & -14.00 y_{22} & + 12.00 y_{23} & -9.00 y_{24} & -19.00 y_{25} & -35.00 y_{26} & + 18.00 y_{27} & + 16.00 y_{28} & + 11.00 y_{29} & + 32.00 y_{30} & -34.00 y_{31}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 21 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  2.0784882567 & + 27.27 y_{16} & +  1.62 y_{17} & -0.16 y_{7} & +  0.39 y_{15} & +  0.48 y_{20} & +  6.63 y_{23} & -4.84 y_{22} & -1.01 y_{14} & +  9.50 y_{21} & +  1.06 y_{25} & +  9.75 y_{26} & +  0.47 y_{13} & +  0.22 y_{5} & + 14.09 y_{29} & -0.97 y_{2} & +  5.31 y_{31}\\
 y_{30}   &  0.0735064505458 & +  0.91 y_{16} & -0.11 y_{17} & -0.05 y_{7} & -0.03 y_{15} & -0.68 y_{20} & +  0.82 y_{23} & -1.85 y_{22} & +  0.04 y_{14} & -0.65 y_{21} & +  0.04 y_{25} & -0.65 y_{26} & +  0.02 y_{13} & +  0.03 y_{5} & -0.90 y_{29} & -0.08 y_{2} & +  0.12 y_{31}\\
 y_{18}   &  0.0874363215349 & +  3.34 y_{16} & -0.21 y_{17} & -0.09 y_{7} & +  0.02 y_{15} & -1.73 y_{20} & +  2.09 y_{23} & -1.25 y_{22} & -0.12 y_{14} & +  1.20 y_{21} & -0.36 y_{25} & +  1.48 y_{26} & +  0.14 y_{13} & +  0.04 y_{5} & -0.30 y_{29} & -0.08 y_{2} & +  0.65 y_{31}\\
 y_{4}   &  0.11826662256 & +  9.18 y_{16} & +  4.87 y_{17} & +  0.67 y_{7} & +  0.34 y_{15} & + 10.95 y_{20} & + 16.43 y_{23} & +  0.21 y_{22} & +  0.22 y_{14} & -4.95 y_{21} & -8.58 y_{25} & -9.28 y_{26} & -0.09 y_{13} & +  0.58 y_{5} & + 11.16 y_{29} & -0.84 y_{2} & -0.83 y_{31}\\
 y_{28}   &  0.117347006285 & -3.10 y_{16} & +  0.27 y_{17} & +  0.06 y_{7} & -0.04 y_{15} & +  2.16 y_{20} & -2.74 y_{23} & +  1.85 y_{22} & +  0.05 y_{14} & -0.44 y_{21} & +  1.19 y_{25} & -0.68 y_{26} & -0.15 y_{13} & -0.11 y_{5} & +  0.65 y_{29} & +  0.08 y_{2} & -0.61 y_{31}\\
 y_{12}   &  0.781710221634 & -37.93 y_{16} & +  5.97 y_{17} & +  0.65 y_{7} & +  0.40 y_{15} & + 22.72 y_{20} & -19.09 y_{23} & + 13.16 y_{22} & +  1.22 y_{14} & -22.97 y_{21} & +  5.34 y_{25} & -1.64 y_{26} & -1.95 y_{13} & -0.79 y_{5} & +  2.47 y_{29} & +  0.69 y_{2} & -0.04 y_{31}\\
 y_{27}   &  0.0807409857757 & +  0.63 y_{16} & +  0.20 y_{17} & -0.07 y_{7} & -0.03 y_{15} & -0.69 y_{20} & -0.14 y_{23} & -0.80 y_{22} & -0.02 y_{14} & -0.49 y_{21} & +  0.07 y_{25} & -0.01 y_{26} & +  0.00 y_{13} & +  0.02 y_{5} & -0.96 y_{29} & +  0.02 y_{2} & +  0.22 y_{31}\\
 y_{8}   &  0.777899437645 & -49.08 y_{16} & +  9.52 y_{17} & +  1.13 y_{7} & -0.10 y_{15} & + 36.14 y_{20} & -26.85 y_{23} & + 20.86 y_{22} & +  0.98 y_{14} & -5.50 y_{21} & +  0.36 y_{25} & -15.46 y_{26} & -1.97 y_{13} & -0.96 y_{5} & + 14.71 y_{29} & +  1.15 y_{2} & -6.62 y_{31}\\
 y_{9}   &  1.91011577903 & +  6.93 y_{16} & +  7.41 y_{17} & -0.39 y_{7} & +  0.25 y_{15} & +  5.47 y_{20} & +  8.17 y_{23} & -11.25 y_{22} & +  0.01 y_{14} & -11.64 y_{21} & +  7.84 y_{25} & -2.65 y_{26} & +  0.09 y_{13} & -0.18 y_{5} & -5.52 y_{29} & -0.68 y_{2} & -10.82 y_{31}\\
 y_{10}   &  1.42218326166 & + 44.24 y_{16} & +  5.15 y_{17} & -0.75 y_{7} & -0.23 y_{15} & -11.79 y_{20} & + 18.22 y_{23} & -12.79 y_{22} & -1.15 y_{14} & + 15.81 y_{21} & -6.06 y_{25} & +  9.84 y_{26} & +  1.65 y_{13} & +  0.95 y_{5} & -7.13 y_{29} & -0.88 y_{2} & +  9.59 y_{31}\\
 y_{19}   &  0.00938471716838 & -0.09 y_{16} & +  0.52 y_{17} & +  0.04 y_{7} & -0.06 y_{15} & +  0.42 y_{20} & +  0.19 y_{23} & +  0.35 y_{22} & -0.05 y_{14} & +  0.90 y_{21} & -0.34 y_{25} & -0.26 y_{26} & +  0.02 y_{13} & +  0.02 y_{5} & -0.30 y_{29} & +  0.02 y_{2} & +  0.52 y_{31}\\
 y_{11}   &  1.26532914324 & -19.74 y_{16} & +  8.41 y_{17} & +  0.48 y_{7} & -0.41 y_{15} & +  5.07 y_{20} & -27.66 y_{23} & + 28.72 y_{22} & -0.19 y_{14} & -6.96 y_{21} & -2.35 y_{25} & +  6.44 y_{26} & -0.77 y_{13} & -0.52 y_{5} & +  0.88 y_{29} & +  1.14 y_{2} & -0.47 y_{31}\\
 y_{24}   &  0.036086668872 & +  1.67 y_{16} & +  0.45 y_{17} & -0.02 y_{7} & +  0.02 y_{15} & -0.73 y_{20} & +  1.88 y_{23} & -1.77 y_{22} & -0.02 y_{14} & -0.46 y_{21} & +  0.13 y_{25} & -0.87 y_{26} & +  0.02 y_{13} & +  0.08 y_{5} & -0.66 y_{29} & -0.12 y_{2} & +  0.62 y_{31}\\
 y_{3}   &  2.05438306318 & -40.50 y_{16} & -0.22 y_{17} & +  0.59 y_{7} & -0.81 y_{15} & + 25.55 y_{20} & -45.52 y_{23} & +  7.37 y_{22} & +  1.37 y_{14} & -19.59 y_{21} & +  9.54 y_{25} & -24.69 y_{26} & -2.39 y_{13} & -0.89 y_{5} & -9.20 y_{29} & +  1.08 y_{2} & -17.99 y_{31}\\
 y_{6}   &  0.0278068144228 & -14.54 y_{16} & +  4.19 y_{17} & +  1.27 y_{7} & +  0.50 y_{15} & +  7.72 y_{20} & +  1.73 y_{23} & -2.35 y_{22} & +  1.47 y_{14} & -18.54 y_{21} & -1.02 y_{25} & -22.62 y_{26} & -1.46 y_{13} & -0.15 y_{5} & +  1.52 y_{29} & -0.67 y_{2} & -6.54 y_{31}\\
\hline
z    &  6.41396295071 & -12.27 y_{16} & -60.78 y_{17} & -2.38 y_{7} & -2.59 y_{15} & -59.77 y_{20} & -0.02 y_{23} & -52.13 y_{22} & -0.04 y_{14} & -2.13 y_{21} & -5.84 y_{25} & -45.30 y_{26} & -0.28 y_{13} & -0.45 y_{5} & -24.93 y_{29} & -0.67 y_{2} & -29.02 y_{31}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.2654085346 & -27.27 x_{1} & -0.91 x_{30} & -3.34 x_{18} & -9.18 x_{4} & +  3.10 x_{28} & + 37.93 x_{12} & -0.63 x_{27} & + 49.08 x_{8} & -6.93 x_{9} & -44.24 x_{10} & +  0.09 x_{19} & + 19.74 x_{11} & -1.67 x_{24} & + 40.50 x_{3} & + 14.54 x_{6}\\
 x_{17}   &  60.7841151174 & -1.62 x_{1} & +  0.11 x_{30} & +  0.21 x_{18} & -4.87 x_{4} & -0.27 x_{28} & -5.97 x_{12} & -0.20 x_{27} & -9.52 x_{8} & -7.41 x_{9} & -5.15 x_{10} & -0.52 x_{19} & -8.41 x_{11} & -0.45 x_{24} & +  0.22 x_{3} & -4.19 x_{6}\\
 x_{7}   &  2.37854449223 & +  0.16 x_{1} & +  0.05 x_{30} & +  0.09 x_{18} & -0.67 x_{4} & -0.06 x_{28} & -0.65 x_{12} & +  0.07 x_{27} & -1.13 x_{8} & +  0.39 x_{9} & +  0.75 x_{10} & -0.04 x_{19} & -0.48 x_{11} & +  0.02 x_{24} & -0.59 x_{3} & -1.27 x_{6}\\
 x_{15}   &  2.59337578564 & -0.39 x_{1} & +  0.03 x_{30} & -0.02 x_{18} & -0.34 x_{4} & +  0.04 x_{28} & -0.40 x_{12} & +  0.03 x_{27} & +  0.10 x_{8} & -0.25 x_{9} & +  0.23 x_{10} & +  0.06 x_{19} & +  0.41 x_{11} & -0.02 x_{24} & +  0.81 x_{3} & -0.50 x_{6}\\
 x_{20}   &  59.7743814092 & -0.48 x_{1} & +  0.68 x_{30} & +  1.73 x_{18} & -10.95 x_{4} & -2.16 x_{28} & -22.72 x_{12} & +  0.69 x_{27} & -36.14 x_{8} & -5.47 x_{9} & + 11.79 x_{10} & -0.42 x_{19} & -5.07 x_{11} & +  0.73 x_{24} & -25.55 x_{3} & -7.72 x_{6}\\
 x_{23}   &  0.0192259345022 & -6.63 x_{1} & -0.82 x_{30} & -2.09 x_{18} & -16.43 x_{4} & +  2.74 x_{28} & + 19.09 x_{12} & +  0.14 x_{27} & + 26.85 x_{8} & -8.17 x_{9} & -18.22 x_{10} & -0.19 x_{19} & + 27.66 x_{11} & -1.88 x_{24} & + 45.52 x_{3} & -1.73 x_{6}\\
 x_{22}   &  52.1340985776 & +  4.84 x_{1} & +  1.85 x_{30} & +  1.25 x_{18} & -0.21 x_{4} & -1.85 x_{28} & -13.16 x_{12} & +  0.80 x_{27} & -20.86 x_{8} & + 11.25 x_{9} & + 12.79 x_{10} & -0.35 x_{19} & -28.72 x_{11} & +  1.77 x_{24} & -7.37 x_{3} & +  2.35 x_{6}\\
 x_{14}   &  0.0420228250083 & +  1.01 x_{1} & -0.04 x_{30} & +  0.12 x_{18} & -0.22 x_{4} & -0.05 x_{28} & -1.22 x_{12} & +  0.02 x_{27} & -0.98 x_{8} & -0.01 x_{9} & +  1.15 x_{10} & +  0.05 x_{19} & +  0.19 x_{11} & +  0.02 x_{24} & -1.37 x_{3} & -1.47 x_{6}\\
 x_{21}   &  2.13065663248 & -9.50 x_{1} & +  0.65 x_{30} & -1.20 x_{18} & +  4.95 x_{4} & +  0.44 x_{28} & + 22.97 x_{12} & +  0.49 x_{27} & +  5.50 x_{8} & + 11.64 x_{9} & -15.81 x_{10} & -0.90 x_{19} & +  6.96 x_{11} & +  0.46 x_{24} & + 19.59 x_{3} & + 18.54 x_{6}\\
 x_{25}   &  5.8373569302 & -1.06 x_{1} & -0.04 x_{30} & +  0.36 x_{18} & +  8.58 x_{4} & -1.19 x_{28} & -5.34 x_{12} & -0.07 x_{27} & -0.36 x_{8} & -7.84 x_{9} & +  6.06 x_{10} & +  0.34 x_{19} & +  2.35 x_{11} & -0.13 x_{24} & -9.54 x_{3} & +  1.02 x_{6}\\
 x_{26}   &  45.2965646709 & -9.75 x_{1} & +  0.65 x_{30} & -1.48 x_{18} & +  9.28 x_{4} & +  0.68 x_{28} & +  1.64 x_{12} & +  0.01 x_{27} & + 15.46 x_{8} & +  2.65 x_{9} & -9.84 x_{10} & +  0.26 x_{19} & -6.44 x_{11} & +  0.87 x_{24} & + 24.69 x_{3} & + 22.62 x_{6}\\
 x_{13}   &  0.282034402911 & -0.47 x_{1} & -0.02 x_{30} & -0.14 x_{18} & +  0.09 x_{4} & +  0.15 x_{28} & +  1.95 x_{12} & -0.00 x_{27} & +  1.97 x_{8} & -0.09 x_{9} & -1.65 x_{10} & -0.02 x_{19} & +  0.77 x_{11} & -0.02 x_{24} & +  2.39 x_{3} & +  1.46 x_{6}\\
 x_{5}   &  0.45021667218 & -0.22 x_{1} & -0.03 x_{30} & -0.04 x_{18} & -0.58 x_{4} & +  0.11 x_{28} & +  0.79 x_{12} & -0.02 x_{27} & +  0.96 x_{8} & +  0.18 x_{9} & -0.95 x_{10} & -0.02 x_{19} & +  0.52 x_{11} & -0.08 x_{24} & +  0.89 x_{3} & +  0.15 x_{6}\\
 x_{29}   &  24.9260271254 & -14.09 x_{1} & +  0.90 x_{30} & +  0.30 x_{18} & -11.16 x_{4} & -0.65 x_{28} & -2.47 x_{12} & +  0.96 x_{27} & -14.71 x_{8} & +  5.52 x_{9} & +  7.13 x_{10} & +  0.30 x_{19} & -0.88 x_{11} & +  0.66 x_{24} & +  9.20 x_{3} & -1.52 x_{6}\\
 x_{2}   &  0.667768772742 & +  0.97 x_{1} & +  0.08 x_{30} & +  0.08 x_{18} & +  0.84 x_{4} & -0.08 x_{28} & -0.69 x_{12} & -0.02 x_{27} & -1.15 x_{8} & +  0.68 x_{9} & +  0.88 x_{10} & -0.02 x_{19} & -1.14 x_{11} & +  0.12 x_{24} & -1.08 x_{3} & +  0.67 x_{6}\\
 x_{31}   &  29.0218144228 & -5.31 x_{1} & -0.12 x_{30} & -0.65 x_{18} & +  0.83 x_{4} & +  0.61 x_{28} & +  0.04 x_{12} & -0.22 x_{27} & +  6.62 x_{8} & + 10.82 x_{9} & -9.59 x_{10} & -0.52 x_{19} & +  0.47 x_{11} & -0.62 x_{24} & + 17.99 x_{3} & +  6.54 x_{6}\\
\hline
z    &  -6.41396295071 & -2.08 x_{1} & -0.07 x_{30} & -0.09 x_{18} & -0.12 x_{4} & -0.12 x_{28} & -0.78 x_{12} & -0.08 x_{27} & -0.78 x_{8} & -1.91 x_{9} & -1.42 x_{10} & -0.01 x_{19} & -1.27 x_{11} & -0.04 x_{24} & -2.05 x_{3} & -0.03 x_{6}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.2654085346 & -27.27 x_{1} & -0.91 x_{30} & -3.34 x_{18} & -9.18 x_{4} & +  3.10 x_{28} & + 37.93 x_{12} & -0.63 x_{27} & + 49.08 x_{8} & -6.93 x_{9} & -44.24 x_{10} & +  0.09 x_{19} & + 19.74 x_{11} & -1.67 x_{24} & + 40.50 x_{3} & + 14.54 x_{6}\\
 x_{17}   &  60.7841151174 & -1.62 x_{1} & +  0.11 x_{30} & +  0.21 x_{18} & -4.87 x_{4} & -0.27 x_{28} & -5.97 x_{12} & -0.20 x_{27} & -9.52 x_{8} & -7.41 x_{9} & -5.15 x_{10} & -0.52 x_{19} & -8.41 x_{11} & -0.45 x_{24} & +  0.22 x_{3} & -4.19 x_{6}\\
 x_{7}   &  2.37854449223 & +  0.16 x_{1} & +  0.05 x_{30} & +  0.09 x_{18} & -0.67 x_{4} & -0.06 x_{28} & -0.65 x_{12} & +  0.07 x_{27} & -1.13 x_{8} & +  0.39 x_{9} & +  0.75 x_{10} & -0.04 x_{19} & -0.48 x_{11} & +  0.02 x_{24} & -0.59 x_{3} & -1.27 x_{6}\\
 x_{15}   &  2.59337578564 & -0.39 x_{1} & +  0.03 x_{30} & -0.02 x_{18} & -0.34 x_{4} & +  0.04 x_{28} & -0.40 x_{12} & +  0.03 x_{27} & +  0.10 x_{8} & -0.25 x_{9} & +  0.23 x_{10} & +  0.06 x_{19} & +  0.41 x_{11} & -0.02 x_{24} & +  0.81 x_{3} & -0.50 x_{6}\\
 x_{20}   &  59.7743814092 & -0.48 x_{1} & +  0.68 x_{30} & +  1.73 x_{18} & -10.95 x_{4} & -2.16 x_{28} & -22.72 x_{12} & +  0.69 x_{27} & -36.14 x_{8} & -5.47 x_{9} & + 11.79 x_{10} & -0.42 x_{19} & -5.07 x_{11} & +  0.73 x_{24} & -25.55 x_{3} & -7.72 x_{6}\\
 x_{23}   &  0.0192259345022 & -6.63 x_{1} & -0.82 x_{30} & -2.09 x_{18} & -16.43 x_{4} & +  2.74 x_{28} & + 19.09 x_{12} & +  0.14 x_{27} & + 26.85 x_{8} & -8.17 x_{9} & -18.22 x_{10} & -0.19 x_{19} & + 27.66 x_{11} & -1.88 x_{24} & + 45.52 x_{3} & -1.73 x_{6}\\
 x_{22}   &  52.1340985776 & +  4.84 x_{1} & +  1.85 x_{30} & +  1.25 x_{18} & -0.21 x_{4} & -1.85 x_{28} & -13.16 x_{12} & +  0.80 x_{27} & -20.86 x_{8} & + 11.25 x_{9} & + 12.79 x_{10} & -0.35 x_{19} & -28.72 x_{11} & +  1.77 x_{24} & -7.37 x_{3} & +  2.35 x_{6}\\
 x_{14}   &  0.0420228250083 & +  1.01 x_{1} & -0.04 x_{30} & +  0.12 x_{18} & -0.22 x_{4} & -0.05 x_{28} & -1.22 x_{12} & +  0.02 x_{27} & -0.98 x_{8} & -0.01 x_{9} & +  1.15 x_{10} & +  0.05 x_{19} & +  0.19 x_{11} & +  0.02 x_{24} & -1.37 x_{3} & -1.47 x_{6}\\
 x_{21}   &  2.13065663248 & -9.50 x_{1} & +  0.65 x_{30} & -1.20 x_{18} & +  4.95 x_{4} & +  0.44 x_{28} & + 22.97 x_{12} & +  0.49 x_{27} & +  5.50 x_{8} & + 11.64 x_{9} & -15.81 x_{10} & -0.90 x_{19} & +  6.96 x_{11} & +  0.46 x_{24} & + 19.59 x_{3} & + 18.54 x_{6}\\
 x_{25}   &  5.8373569302 & -1.06 x_{1} & -0.04 x_{30} & +  0.36 x_{18} & +  8.58 x_{4} & -1.19 x_{28} & -5.34 x_{12} & -0.07 x_{27} & -0.36 x_{8} & -7.84 x_{9} & +  6.06 x_{10} & +  0.34 x_{19} & +  2.35 x_{11} & -0.13 x_{24} & -9.54 x_{3} & +  1.02 x_{6}\\
 x_{26}   &  45.2965646709 & -9.75 x_{1} & +  0.65 x_{30} & -1.48 x_{18} & +  9.28 x_{4} & +  0.68 x_{28} & +  1.64 x_{12} & +  0.01 x_{27} & + 15.46 x_{8} & +  2.65 x_{9} & -9.84 x_{10} & +  0.26 x_{19} & -6.44 x_{11} & +  0.87 x_{24} & + 24.69 x_{3} & + 22.62 x_{6}\\
 x_{13}   &  0.282034402911 & -0.47 x_{1} & -0.02 x_{30} & -0.14 x_{18} & +  0.09 x_{4} & +  0.15 x_{28} & +  1.95 x_{12} & -0.00 x_{27} & +  1.97 x_{8} & -0.09 x_{9} & -1.65 x_{10} & -0.02 x_{19} & +  0.77 x_{11} & -0.02 x_{24} & +  2.39 x_{3} & +  1.46 x_{6}\\
 x_{5}   &  0.45021667218 & -0.22 x_{1} & -0.03 x_{30} & -0.04 x_{18} & -0.58 x_{4} & +  0.11 x_{28} & +  0.79 x_{12} & -0.02 x_{27} & +  0.96 x_{8} & +  0.18 x_{9} & -0.95 x_{10} & -0.02 x_{19} & +  0.52 x_{11} & -0.08 x_{24} & +  0.89 x_{3} & +  0.15 x_{6}\\
 x_{29}   &  24.9260271254 & -14.09 x_{1} & +  0.90 x_{30} & +  0.30 x_{18} & -11.16 x_{4} & -0.65 x_{28} & -2.47 x_{12} & +  0.96 x_{27} & -14.71 x_{8} & +  5.52 x_{9} & +  7.13 x_{10} & +  0.30 x_{19} & -0.88 x_{11} & +  0.66 x_{24} & +  9.20 x_{3} & -1.52 x_{6}\\
 x_{2}   &  0.667768772742 & +  0.97 x_{1} & +  0.08 x_{30} & +  0.08 x_{18} & +  0.84 x_{4} & -0.08 x_{28} & -0.69 x_{12} & -0.02 x_{27} & -1.15 x_{8} & +  0.68 x_{9} & +  0.88 x_{10} & -0.02 x_{19} & -1.14 x_{11} & +  0.12 x_{24} & -1.08 x_{3} & +  0.67 x_{6}\\
 x_{31}   &  29.0218144228 & -5.31 x_{1} & -0.12 x_{30} & -0.65 x_{18} & +  0.83 x_{4} & +  0.61 x_{28} & +  0.04 x_{12} & -0.22 x_{27} & +  6.62 x_{8} & + 10.82 x_{9} & -9.59 x_{10} & -0.52 x_{19} & +  0.47 x_{11} & -0.62 x_{24} & + 17.99 x_{3} & +  6.54 x_{6}\\
\hline
z    &  -0.507760502812 & -1.71 x_{1} & -0.56 x_{30} & -0.43 x_{18} & -9.30 x_{4} & +  1.06 x_{28} & +  7.57 x_{12} & -0.00 x_{27} & +  8.98 x_{8} & +  2.18 x_{9} & -10.30 x_{10} & +  0.03 x_{19} & +  9.71 x_{11} & -0.56 x_{24} & +  5.02 x_{3} & -1.33 x_{6}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.2654085346 & -27.27 x_{1} & -0.91 x_{30} & -3.34 x_{18} & -9.18 x_{4} & +  3.10 x_{28} & + 37.93 x_{12} & -0.63 x_{27} & + 49.08 x_{8} & -6.93 x_{9} & -44.24 x_{10} & +  0.09 x_{19} & + 19.74 x_{11} & -1.67 x_{24} & + 40.50 x_{3} & + 14.54 x_{6}\\
 x_{17}   &  60.7841151174 & -1.62 x_{1} & +  0.11 x_{30} & +  0.21 x_{18} & -4.87 x_{4} & -0.27 x_{28} & -5.97 x_{12} & -0.20 x_{27} & -9.52 x_{8} & -7.41 x_{9} & -5.15 x_{10} & -0.52 x_{19} & -8.41 x_{11} & -0.45 x_{24} & +  0.22 x_{3} & -4.19 x_{6}\\
 x_{7}   &  2.37854449223 & +  0.16 x_{1} & +  0.05 x_{30} & +  0.09 x_{18} & -0.67 x_{4} & -0.06 x_{28} & -0.65 x_{12} & +  0.07 x_{27} & -1.13 x_{8} & +  0.39 x_{9} & +  0.75 x_{10} & -0.04 x_{19} & -0.48 x_{11} & +  0.02 x_{24} & -0.59 x_{3} & -1.27 x_{6}\\
 x_{15}   &  2.59337578564 & -0.39 x_{1} & +  0.03 x_{30} & -0.02 x_{18} & -0.34 x_{4} & +  0.04 x_{28} & -0.40 x_{12} & +  0.03 x_{27} & +  0.10 x_{8} & -0.25 x_{9} & +  0.23 x_{10} & +  0.06 x_{19} & +  0.41 x_{11} & -0.02 x_{24} & +  0.81 x_{3} & -0.50 x_{6}\\
 x_{20}   &  59.7743814092 & -0.48 x_{1} & +  0.68 x_{30} & +  1.73 x_{18} & -10.95 x_{4} & -2.16 x_{28} & -22.72 x_{12} & +  0.69 x_{27} & -36.14 x_{8} & -5.47 x_{9} & + 11.79 x_{10} & -0.42 x_{19} & -5.07 x_{11} & +  0.73 x_{24} & -25.55 x_{3} & -7.72 x_{6}\\
 x_{23}   &  0.0192259345022 & -6.63 x_{1} & -0.82 x_{30} & -2.09 x_{18} & -16.43 x_{4} & +  2.74 x_{28} & + 19.09 x_{12} & +  0.14 x_{27} & + 26.85 x_{8} & -8.17 x_{9} & -18.22 x_{10} & -0.19 x_{19} & + 27.66 x_{11} & -1.88 x_{24} & + 45.52 x_{3} & -1.73 x_{6}\\
 x_{22}   &  52.1340985776 & +  4.84 x_{1} & +  1.85 x_{30} & +  1.25 x_{18} & -0.21 x_{4} & -1.85 x_{28} & -13.16 x_{12} & +  0.80 x_{27} & -20.86 x_{8} & + 11.25 x_{9} & + 12.79 x_{10} & -0.35 x_{19} & -28.72 x_{11} & +  1.77 x_{24} & -7.37 x_{3} & +  2.35 x_{6}\\
 x_{14}   &  0.0420228250083 & +  1.01 x_{1} & -0.04 x_{30} & +  0.12 x_{18} & -0.22 x_{4} & -0.05 x_{28} & -1.22 x_{12} & +  0.02 x_{27} & -0.98 x_{8} & -0.01 x_{9} & +  1.15 x_{10} & +  0.05 x_{19} & +  0.19 x_{11} & +  0.02 x_{24} & -1.37 x_{3} & -1.47 x_{6}\\
 x_{21}   &  2.13065663248 & -9.50 x_{1} & +  0.65 x_{30} & -1.20 x_{18} & +  4.95 x_{4} & +  0.44 x_{28} & + 22.97 x_{12} & +  0.49 x_{27} & +  5.50 x_{8} & + 11.64 x_{9} & -15.81 x_{10} & -0.90 x_{19} & +  6.96 x_{11} & +  0.46 x_{24} & + 19.59 x_{3} & + 18.54 x_{6}\\
 x_{25}   &  5.8373569302 & -1.06 x_{1} & -0.04 x_{30} & +  0.36 x_{18} & +  8.58 x_{4} & -1.19 x_{28} & -5.34 x_{12} & -0.07 x_{27} & -0.36 x_{8} & -7.84 x_{9} & +  6.06 x_{10} & +  0.34 x_{19} & +  2.35 x_{11} & -0.13 x_{24} & -9.54 x_{3} & +  1.02 x_{6}\\
 x_{26}   &  45.2965646709 & -9.75 x_{1} & +  0.65 x_{30} & -1.48 x_{18} & +  9.28 x_{4} & +  0.68 x_{28} & +  1.64 x_{12} & +  0.01 x_{27} & + 15.46 x_{8} & +  2.65 x_{9} & -9.84 x_{10} & +  0.26 x_{19} & -6.44 x_{11} & +  0.87 x_{24} & + 24.69 x_{3} & + 22.62 x_{6}\\
 x_{13}   &  0.282034402911 & -0.47 x_{1} & -0.02 x_{30} & -0.14 x_{18} & +  0.09 x_{4} & +  0.15 x_{28} & +  1.95 x_{12} & -0.00 x_{27} & +  1.97 x_{8} & -0.09 x_{9} & -1.65 x_{10} & -0.02 x_{19} & +  0.77 x_{11} & -0.02 x_{24} & +  2.39 x_{3} & +  1.46 x_{6}\\
 x_{5}   &  0.45021667218 & -0.22 x_{1} & -0.03 x_{30} & -0.04 x_{18} & -0.58 x_{4} & +  0.11 x_{28} & +  0.79 x_{12} & -0.02 x_{27} & +  0.96 x_{8} & +  0.18 x_{9} & -0.95 x_{10} & -0.02 x_{19} & +  0.52 x_{11} & -0.08 x_{24} & +  0.89 x_{3} & +  0.15 x_{6}\\
 x_{29}   &  24.9260271254 & -14.09 x_{1} & +  0.90 x_{30} & +  0.30 x_{18} & -11.16 x_{4} & -0.65 x_{28} & -2.47 x_{12} & +  0.96 x_{27} & -14.71 x_{8} & +  5.52 x_{9} & +  7.13 x_{10} & +  0.30 x_{19} & -0.88 x_{11} & +  0.66 x_{24} & +  9.20 x_{3} & -1.52 x_{6}\\
 x_{2}   &  0.667768772742 & +  0.97 x_{1} & +  0.08 x_{30} & +  0.08 x_{18} & +  0.84 x_{4} & -0.08 x_{28} & -0.69 x_{12} & -0.02 x_{27} & -1.15 x_{8} & +  0.68 x_{9} & +  0.88 x_{10} & -0.02 x_{19} & -1.14 x_{11} & +  0.12 x_{24} & -1.08 x_{3} & +  0.67 x_{6}\\
 x_{31}   &  29.0218144228 & -5.31 x_{1} & -0.12 x_{30} & -0.65 x_{18} & +  0.83 x_{4} & +  0.61 x_{28} & +  0.04 x_{12} & -0.22 x_{27} & +  6.62 x_{8} & + 10.82 x_{9} & -9.59 x_{10} & -0.52 x_{19} & +  0.47 x_{11} & -0.62 x_{24} & + 17.99 x_{3} & +  6.54 x_{6}\\
\hline
z    &  -0.507760502812 & -1.71 x_{1} & -0.56 x_{30} & -0.43 x_{18} & -9.30 x_{4} & +  1.06 x_{28} & +  7.57 x_{12} & -0.00 x_{27} & +  8.98 x_{8} & +  2.18 x_{9} & -10.30 x_{10} & +  0.03 x_{19} & +  9.71 x_{11} & -0.56 x_{24} & +  5.02 x_{3} & -1.33 x_{6}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  13.5115494084 & +  2.72 x_{1} & -2.03 x_{30} & +  0.10 x_{18} & -15.73 x_{4} & +  1.70 x_{28} & +  1.72 x_{12} & -0.05 x_{27} & + 19.97 x_{8} & -7.10 x_{9} & -10.06 x_{10} & +  1.61 x_{19} & + 25.28 x_{11} & -1.21 x_{24} & -29.65 x_{14} & -29.17 x_{6}\\
 x_{17}   &  60.7907844538 & -1.46 x_{1} & +  0.11 x_{30} & +  0.23 x_{18} & -4.91 x_{4} & -0.28 x_{28} & -6.16 x_{12} & -0.20 x_{27} & -9.68 x_{8} & -7.41 x_{9} & -4.97 x_{10} & -0.51 x_{19} & -8.38 x_{11} & -0.45 x_{24} & -0.16 x_{14} & -4.43 x_{6}\\
 x_{7}   &  2.36032494822 & -0.27 x_{1} & +  0.06 x_{30} & +  0.04 x_{18} & -0.57 x_{4} & -0.04 x_{28} & -0.12 x_{12} & +  0.06 x_{27} & -0.70 x_{8} & +  0.40 x_{9} & +  0.25 x_{10} & -0.06 x_{19} & -0.56 x_{11} & +  0.01 x_{24} & +  0.43 x_{14} & -0.63 x_{6}\\
 x_{15}   &  2.61838325239 & +  0.22 x_{1} & +  0.00 x_{30} & +  0.05 x_{18} & -0.48 x_{4} & +  0.01 x_{28} & -1.13 x_{12} & +  0.04 x_{27} & -0.48 x_{8} & -0.25 x_{9} & +  0.92 x_{10} & +  0.09 x_{19} & +  0.52 x_{11} & -0.01 x_{24} & -0.60 x_{14} & -1.38 x_{6}\\
 x_{20}   &  58.9881992806 & -19.40 x_{1} & +  1.38 x_{30} & -0.44 x_{18} & -6.82 x_{4} & -1.27 x_{28} & +  0.13 x_{12} & +  0.33 x_{27} & -17.78 x_{8} & -5.37 x_{9} & -9.77 x_{10} & -1.38 x_{19} & -8.56 x_{11} & +  0.44 x_{24} & + 18.71 x_{14} & + 19.85 x_{6}\\
 x_{23}   &  1.41999830441 & + 27.08 x_{1} & -2.07 x_{30} & +  1.78 x_{18} & -23.79 x_{4} & +  1.16 x_{28} & -21.61 x_{12} & +  0.79 x_{27} & -5.88 x_{8} & -8.35 x_{9} & + 20.20 x_{10} & +  1.52 x_{19} & + 33.88 x_{11} & -1.37 x_{24} & -33.33 x_{14} & -50.86 x_{6}\\
 x_{22}   &  51.9074327516 & -0.61 x_{1} & +  2.05 x_{30} & +  0.62 x_{18} & +  0.98 x_{4} & -1.60 x_{28} & -6.57 x_{12} & +  0.69 x_{27} & -15.56 x_{8} & + 11.28 x_{9} & +  6.58 x_{10} & -0.63 x_{19} & -29.73 x_{11} & +  1.68 x_{24} & +  5.39 x_{14} & + 10.30 x_{6}\\
 x_{3}   &  0.0307713735512 & +  0.74 x_{1} & -0.03 x_{30} & +  0.09 x_{18} & -0.16 x_{4} & -0.03 x_{28} & -0.89 x_{12} & +  0.01 x_{27} & -0.72 x_{8} & -0.00 x_{9} & +  0.84 x_{10} & +  0.04 x_{19} & +  0.14 x_{11} & +  0.01 x_{24} & -0.73 x_{14} & -1.08 x_{6}\\
 x_{21}   &  2.7334594935 & +  5.00 x_{1} & +  0.11 x_{30} & +  0.47 x_{18} & +  1.78 x_{4} & -0.24 x_{28} & +  5.45 x_{12} & +  0.77 x_{27} & -8.58 x_{8} & + 11.56 x_{9} & +  0.72 x_{10} & -0.16 x_{19} & +  9.64 x_{11} & +  0.68 x_{24} & -14.34 x_{14} & -2.60 x_{6}\\
 x_{25}   &  5.54374326305 & -8.12 x_{1} & +  0.22 x_{30} & -0.45 x_{18} & + 10.12 x_{4} & -0.86 x_{28} & +  3.19 x_{12} & -0.20 x_{27} & +  6.49 x_{8} & -7.80 x_{9} & -2.00 x_{10} & -0.02 x_{19} & +  1.04 x_{11} & -0.24 x_{24} & +  6.99 x_{14} & + 11.32 x_{6}\\
 x_{26}   &  46.056279143 & +  8.53 x_{1} & -0.03 x_{30} & +  0.62 x_{18} & +  5.29 x_{4} & -0.17 x_{28} & -20.43 x_{12} & +  0.36 x_{27} & -2.29 x_{8} & +  2.55 x_{9} & + 10.99 x_{10} & +  1.19 x_{19} & -3.06 x_{11} & +  1.15 x_{24} & -18.08 x_{14} & -4.03 x_{6}\\
 x_{13}   &  0.355650562573 & +  1.31 x_{1} & -0.08 x_{30} & +  0.06 x_{18} & -0.30 x_{4} & +  0.07 x_{28} & -0.19 x_{12} & +  0.03 x_{27} & +  0.25 x_{8} & -0.10 x_{9} & +  0.37 x_{10} & +  0.07 x_{19} & +  1.09 x_{11} & +  0.01 x_{24} & -1.75 x_{14} & -1.12 x_{6}\\
 x_{5}   &  0.477465573413 & +  0.44 x_{1} & -0.05 x_{30} & +  0.03 x_{18} & -0.72 x_{4} & +  0.08 x_{28} & -0.00 x_{12} & -0.01 x_{27} & +  0.33 x_{8} & +  0.18 x_{9} & -0.20 x_{10} & +  0.01 x_{19} & +  0.64 x_{11} & -0.07 x_{24} & -0.65 x_{14} & -0.81 x_{6}\\
 x_{29}   &  25.2089975414 & -7.28 x_{1} & +  0.64 x_{30} & +  1.08 x_{18} & -12.65 x_{4} & -0.97 x_{28} & -10.69 x_{12} & +  1.09 x_{27} & -21.32 x_{8} & +  5.49 x_{9} & + 14.89 x_{10} & +  0.65 x_{19} & +  0.38 x_{11} & +  0.77 x_{24} & -6.73 x_{14} & -11.45 x_{6}\\
 x_{2}   &  0.634583429215 & +  0.18 x_{1} & +  0.11 x_{30} & -0.02 x_{18} & +  1.01 x_{4} & -0.04 x_{28} & +  0.28 x_{12} & -0.03 x_{27} & -0.37 x_{8} & +  0.68 x_{9} & -0.03 x_{10} & -0.06 x_{19} & -1.29 x_{11} & +  0.11 x_{24} & +  0.79 x_{14} & +  1.83 x_{6}\\
 x_{31}   &  29.5753993726 & +  8.01 x_{1} & -0.62 x_{30} & +  0.88 x_{18} & -2.07 x_{4} & -0.02 x_{28} & -16.05 x_{12} & +  0.04 x_{27} & -6.31 x_{8} & + 10.75 x_{9} & +  5.59 x_{10} & +  0.15 x_{19} & +  2.93 x_{11} & -0.42 x_{24} & -13.17 x_{14} & -12.88 x_{6}\\
\hline
z    &  -0.353291872055 & +  2.01 x_{1} & -0.70 x_{30} & +  0.00 x_{18} & -10.11 x_{4} & +  0.89 x_{28} & +  3.08 x_{12} & +  0.07 x_{27} & +  5.37 x_{8} & +  2.16 x_{9} & -6.06 x_{10} & +  0.22 x_{19} & + 10.39 x_{11} & -0.51 x_{24} & -3.68 x_{14} & -6.75 x_{6}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  15.3677106823 & -0.33 x_{25} & -1.95 x_{30} & -0.05 x_{18} & -12.34 x_{4} & +  1.41 x_{28} & +  2.79 x_{12} & -0.12 x_{27} & + 22.15 x_{8} & -9.71 x_{9} & -10.73 x_{10} & +  1.60 x_{19} & + 25.63 x_{11} & -1.29 x_{24} & -27.31 x_{14} & -25.38 x_{6}\\
 x_{17}   &  59.7979136085 & +  0.18 x_{25} & +  0.07 x_{30} & +  0.31 x_{18} & -6.72 x_{4} & -0.13 x_{28} & -6.73 x_{12} & -0.16 x_{27} & -10.84 x_{8} & -6.01 x_{9} & -4.61 x_{10} & -0.51 x_{19} & -8.57 x_{11} & -0.40 x_{24} & -1.41 x_{14} & -6.45 x_{6}\\
 x_{7}   &  2.17364295672 & +  0.03 x_{25} & +  0.06 x_{30} & +  0.06 x_{18} & -0.91 x_{4} & -0.01 x_{28} & -0.22 x_{12} & +  0.07 x_{27} & -0.92 x_{8} & +  0.66 x_{9} & +  0.32 x_{10} & -0.06 x_{19} & -0.59 x_{11} & +  0.02 x_{24} & +  0.20 x_{14} & -1.01 x_{6}\\
 x_{15}   &  2.76511806525 & -0.03 x_{25} & +  0.01 x_{30} & +  0.04 x_{18} & -0.21 x_{4} & -0.01 x_{28} & -1.04 x_{12} & +  0.04 x_{27} & -0.31 x_{8} & -0.46 x_{9} & +  0.87 x_{10} & +  0.09 x_{19} & +  0.55 x_{11} & -0.01 x_{24} & -0.41 x_{14} & -1.08 x_{6}\\
 x_{20}   &  45.7483667854 & +  2.39 x_{25} & +  0.86 x_{30} & +  0.64 x_{18} & -30.99 x_{4} & +  0.78 x_{28} & -7.48 x_{12} & +  0.81 x_{27} & -33.29 x_{8} & + 13.27 x_{9} & -5.00 x_{10} & -1.32 x_{19} & -11.05 x_{11} & +  1.02 x_{24} & +  2.02 x_{14} & -7.19 x_{6}\\
 x_{23}   &  19.8977665929 & -3.33 x_{25} & -1.34 x_{30} & +  0.27 x_{18} & +  9.94 x_{4} & -1.70 x_{28} & -10.99 x_{12} & +  0.11 x_{27} & + 15.77 x_{8} & -34.36 x_{9} & + 13.54 x_{10} & +  1.44 x_{19} & + 37.35 x_{11} & -2.17 x_{24} & -10.05 x_{14} & -13.12 x_{6}\\
 x_{22}   &  51.4900202691 & +  0.08 x_{25} & +  2.03 x_{30} & +  0.66 x_{18} & +  0.22 x_{4} & -1.53 x_{28} & -6.81 x_{12} & +  0.71 x_{27} & -16.05 x_{8} & + 11.87 x_{9} & +  6.73 x_{10} & -0.62 x_{19} & -29.80 x_{11} & +  1.70 x_{24} & +  4.87 x_{14} & +  9.44 x_{6}\\
 x_{3}   &  0.536085002957 & -0.09 x_{25} & -0.01 x_{30} & +  0.04 x_{18} & +  0.76 x_{4} & -0.11 x_{28} & -0.60 x_{12} & -0.00 x_{27} & -0.13 x_{8} & -0.72 x_{9} & +  0.66 x_{10} & +  0.04 x_{19} & +  0.23 x_{11} & -0.01 x_{24} & -0.10 x_{14} & -0.05 x_{6}\\
 x_{21}   &  6.14828092386 & -0.62 x_{25} & +  0.24 x_{30} & +  0.19 x_{18} & +  8.02 x_{4} & -0.77 x_{28} & +  7.41 x_{12} & +  0.64 x_{27} & -4.58 x_{8} & +  6.76 x_{9} & -0.51 x_{10} & -0.18 x_{19} & + 10.28 x_{11} & +  0.53 x_{24} & -10.04 x_{14} & +  4.37 x_{6}\\
 x_{1}   &  0.682316652561 & -0.12 x_{25} & +  0.03 x_{30} & -0.06 x_{18} & +  1.25 x_{4} & -0.11 x_{28} & +  0.39 x_{12} & -0.03 x_{27} & +  0.80 x_{8} & -0.96 x_{9} & -0.25 x_{10} & -0.00 x_{19} & +  0.13 x_{11} & -0.03 x_{24} & +  0.86 x_{14} & +  1.39 x_{6}\\
 x_{26}   &  51.8792010402 & -1.05 x_{25} & +  0.20 x_{30} & +  0.14 x_{18} & + 15.92 x_{4} & -1.08 x_{28} & -17.09 x_{12} & +  0.15 x_{27} & +  4.53 x_{8} & -5.65 x_{9} & +  8.89 x_{10} & +  1.17 x_{19} & -1.97 x_{11} & +  0.89 x_{24} & -10.74 x_{14} & +  7.87 x_{6}\\
 x_{13}   &  1.24724779001 & -0.16 x_{25} & -0.05 x_{30} & -0.01 x_{18} & +  1.33 x_{4} & -0.07 x_{28} & +  0.32 x_{12} & +  0.00 x_{27} & +  1.29 x_{8} & -1.35 x_{9} & +  0.05 x_{10} & +  0.06 x_{19} & +  1.26 x_{11} & -0.03 x_{24} & -0.63 x_{14} & +  0.70 x_{6}\\
 x_{5}   &  0.77494809735 & -0.05 x_{25} & -0.04 x_{30} & +  0.01 x_{18} & -0.18 x_{4} & +  0.03 x_{28} & +  0.17 x_{12} & -0.02 x_{27} & +  0.68 x_{8} & -0.24 x_{9} & -0.31 x_{10} & +  0.01 x_{19} & +  0.70 x_{11} & -0.08 x_{24} & -0.27 x_{14} & -0.20 x_{6}\\
 x_{29}   &  20.239921383 & +  0.90 x_{25} & +  0.45 x_{30} & +  1.48 x_{18} & -21.72 x_{4} & -0.20 x_{28} & -13.55 x_{12} & +  1.27 x_{27} & -27.14 x_{8} & + 12.48 x_{9} & + 16.68 x_{10} & +  0.67 x_{19} & -0.55 x_{11} & +  0.99 x_{24} & -13.00 x_{14} & -21.60 x_{6}\\
 x_{2}   &  0.754115486051 & -0.02 x_{25} & +  0.12 x_{30} & -0.03 x_{18} & +  1.23 x_{4} & -0.06 x_{28} & +  0.35 x_{12} & -0.04 x_{27} & -0.23 x_{8} & +  0.51 x_{9} & -0.07 x_{10} & -0.06 x_{19} & -1.26 x_{11} & +  0.10 x_{24} & +  0.94 x_{14} & +  2.08 x_{6}\\
 x_{31}   &  35.0407171677 & -0.99 x_{25} & -0.40 x_{30} & +  0.43 x_{18} & +  7.90 x_{4} & -0.87 x_{28} & -12.90 x_{12} & -0.16 x_{27} & +  0.09 x_{8} & +  3.06 x_{9} & +  3.62 x_{10} & +  0.13 x_{19} & +  3.95 x_{11} & -0.65 x_{24} & -6.29 x_{14} & -1.72 x_{6}\\
\hline
z    &  1.01762398221 & -0.25 x_{25} & -0.65 x_{30} & -0.11 x_{18} & -7.60 x_{4} & +  0.67 x_{28} & +  3.87 x_{12} & +  0.02 x_{27} & +  6.98 x_{8} & +  0.23 x_{9} & -6.56 x_{10} & +  0.21 x_{19} & + 10.65 x_{11} & -0.56 x_{24} & -1.95 x_{14} & -3.95 x_{6}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  31.8842463617 & +  0.40 x_{25} & -1.59 x_{30} & +  1.16 x_{18} & -30.06 x_{4} & +  1.25 x_{28} & -8.27 x_{12} & +  0.92 x_{27} & -0.82 x_{29} & +  0.47 x_{9} & +  2.88 x_{10} & +  2.14 x_{19} & + 25.18 x_{11} & -0.49 x_{24} & -37.92 x_{14} & -43.01 x_{6}\\
 x_{17}   &  51.7125822063 & -0.18 x_{25} & -0.11 x_{30} & -0.29 x_{18} & +  1.96 x_{4} & -0.05 x_{28} & -1.32 x_{12} & -0.67 x_{27} & +  0.40 x_{29} & -11.00 x_{9} & -11.28 x_{10} & -0.77 x_{19} & -8.35 x_{11} & -0.80 x_{24} & +  3.78 x_{14} & +  2.17 x_{6}\\
 x_{7}   &  1.48764080488 & +  0.00 x_{25} & +  0.04 x_{30} & +  0.01 x_{18} & -0.17 x_{4} & +  0.00 x_{28} & +  0.24 x_{12} & +  0.02 x_{27} & +  0.03 x_{29} & +  0.24 x_{9} & -0.25 x_{10} & -0.08 x_{19} & -0.58 x_{11} & -0.02 x_{24} & +  0.64 x_{14} & -0.28 x_{6}\\
 x_{15}   &  2.53481520613 & -0.04 x_{25} & +  0.00 x_{30} & +  0.02 x_{18} & +  0.04 x_{4} & -0.01 x_{28} & -0.89 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & -0.60 x_{9} & +  0.68 x_{10} & +  0.08 x_{19} & +  0.55 x_{11} & -0.02 x_{24} & -0.26 x_{14} & -0.83 x_{6}\\
 x_{20}   &  20.9245129898 & +  1.29 x_{25} & +  0.31 x_{30} & -1.18 x_{18} & -4.35 x_{4} & +  1.02 x_{28} & +  9.13 x_{12} & -0.75 x_{27} & +  1.23 x_{29} & -2.04 x_{9} & -25.45 x_{10} & -2.14 x_{19} & -10.37 x_{11} & -0.19 x_{24} & + 17.96 x_{14} & + 19.30 x_{6}\\
 x_{23}   &  31.65890809 & -2.81 x_{25} & -1.08 x_{30} & +  1.13 x_{18} & -2.68 x_{4} & -1.81 x_{28} & -18.86 x_{12} & +  0.85 x_{27} & -0.58 x_{29} & -27.11 x_{9} & + 23.23 x_{10} & +  1.83 x_{19} & + 37.03 x_{11} & -1.60 x_{24} & -17.60 x_{14} & -25.67 x_{6}\\
 x_{22}   &  39.5187207489 & -0.45 x_{25} & +  1.77 x_{30} & -0.22 x_{18} & + 13.06 x_{4} & -1.42 x_{28} & +  1.20 x_{12} & -0.05 x_{27} & +  0.59 x_{29} & +  4.49 x_{9} & -3.14 x_{10} & -1.02 x_{19} & -29.48 x_{11} & +  1.12 x_{24} & + 12.55 x_{14} & + 22.22 x_{6}\\
 x_{3}   &  0.441492660276 & -0.10 x_{25} & -0.01 x_{30} & +  0.04 x_{18} & +  0.86 x_{4} & -0.11 x_{28} & -0.54 x_{12} & -0.01 x_{27} & +  0.00 x_{29} & -0.77 x_{9} & +  0.58 x_{10} & +  0.03 x_{19} & +  0.23 x_{11} & -0.02 x_{24} & -0.03 x_{14} & +  0.05 x_{6}\\
 x_{21}   &  2.73551602197 & -0.77 x_{25} & +  0.17 x_{30} & -0.06 x_{18} & + 11.68 x_{4} & -0.74 x_{28} & +  9.70 x_{12} & +  0.43 x_{27} & +  0.17 x_{29} & +  4.65 x_{9} & -3.32 x_{10} & -0.29 x_{19} & + 10.37 x_{11} & +  0.37 x_{24} & -7.85 x_{14} & +  8.02 x_{6}\\
 x_{1}   &  1.27840978202 & -0.10 x_{25} & +  0.04 x_{30} & -0.01 x_{18} & +  0.61 x_{4} & -0.11 x_{28} & -0.01 x_{12} & +  0.01 x_{27} & -0.03 x_{29} & -0.59 x_{9} & +  0.25 x_{10} & +  0.02 x_{19} & +  0.11 x_{11} & -0.00 x_{24} & +  0.48 x_{14} & +  0.76 x_{6}\\
 x_{26}   &  55.2592223298 & -0.90 x_{25} & +  0.27 x_{30} & +  0.39 x_{18} & + 12.29 x_{4} & -1.11 x_{28} & -19.35 x_{12} & +  0.36 x_{27} & -0.17 x_{29} & -3.56 x_{9} & + 11.68 x_{10} & +  1.28 x_{19} & -2.06 x_{11} & +  1.06 x_{24} & -12.91 x_{14} & +  4.26 x_{6}\\
 x_{13}   &  2.21164520903 & -0.12 x_{25} & -0.03 x_{30} & +  0.06 x_{18} & +  0.29 x_{4} & -0.08 x_{28} & -0.32 x_{12} & +  0.06 x_{27} & -0.05 x_{29} & -0.76 x_{9} & +  0.84 x_{10} & +  0.10 x_{19} & +  1.23 x_{11} & +  0.01 x_{24} & -1.25 x_{14} & -0.33 x_{6}\\
 x_{5}   &  1.27862830107 & -0.03 x_{25} & -0.03 x_{30} & +  0.05 x_{18} & -0.72 x_{4} & +  0.03 x_{28} & -0.17 x_{12} & +  0.01 x_{27} & -0.02 x_{29} & +  0.07 x_{9} & +  0.10 x_{10} & +  0.02 x_{19} & +  0.68 x_{11} & -0.06 x_{24} & -0.60 x_{14} & -0.74 x_{6}\\
 x_{8}   &  0.745737607624 & +  0.03 x_{25} & +  0.02 x_{30} & +  0.05 x_{18} & -0.80 x_{4} & -0.01 x_{28} & -0.50 x_{12} & +  0.05 x_{27} & -0.04 x_{29} & +  0.46 x_{9} & +  0.61 x_{10} & +  0.02 x_{19} & -0.02 x_{11} & +  0.04 x_{24} & -0.48 x_{14} & -0.80 x_{6}\\
 x_{2}   &  0.579857008245 & -0.03 x_{25} & +  0.11 x_{30} & -0.04 x_{18} & +  1.42 x_{4} & -0.06 x_{28} & +  0.46 x_{12} & -0.05 x_{27} & +  0.01 x_{29} & +  0.40 x_{9} & -0.21 x_{10} & -0.06 x_{19} & -1.26 x_{11} & +  0.09 x_{24} & +  1.05 x_{14} & +  2.26 x_{6}\\
 x_{31}   &  35.1068386359 & -0.98 x_{25} & -0.40 x_{30} & +  0.44 x_{18} & +  7.83 x_{4} & -0.87 x_{28} & -12.95 x_{12} & -0.16 x_{27} & -0.00 x_{29} & +  3.10 x_{9} & +  3.68 x_{10} & +  0.13 x_{19} & +  3.95 x_{11} & -0.65 x_{24} & -6.33 x_{14} & -1.79 x_{6}\\
\hline
z    &  6.22245194616 & -0.02 x_{25} & -0.53 x_{30} & +  0.27 x_{18} & -13.19 x_{4} & +  0.62 x_{28} & +  0.38 x_{12} & +  0.34 x_{27} & -0.26 x_{29} & +  3.44 x_{9} & -2.27 x_{10} & +  0.38 x_{19} & + 10.51 x_{11} & -0.31 x_{24} & -5.29 x_{14} & -9.50 x_{6}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  32.1533290954 & +  0.34 x_{25} & -1.59 x_{30} & +  1.18 x_{18} & -29.54 x_{4} & +  1.18 x_{28} & -8.60 x_{12} & +  0.92 x_{27} & -0.81 x_{29} & -0.61 x_{3} & +  3.23 x_{10} & +  2.16 x_{19} & + 25.32 x_{11} & -0.50 x_{24} & -37.94 x_{14} & -42.97 x_{6}\\
 x_{17}   &  45.4381632988 & +  1.18 x_{25} & +  0.03 x_{30} & -0.81 x_{18} & -10.30 x_{4} & +  1.55 x_{28} & +  6.36 x_{12} & -0.53 x_{27} & +  0.33 x_{29} & + 14.21 x_{3} & -19.57 x_{10} & -1.23 x_{19} & -11.68 x_{11} & -0.58 x_{24} & +  4.27 x_{14} & +  1.41 x_{6}\\
 x_{7}   &  1.62275897819 & -0.03 x_{25} & +  0.04 x_{30} & +  0.02 x_{18} & +  0.09 x_{4} & -0.03 x_{28} & +  0.07 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & -0.31 x_{3} & -0.07 x_{10} & -0.07 x_{19} & -0.50 x_{11} & -0.02 x_{24} & +  0.63 x_{14} & -0.26 x_{6}\\
 x_{15}   &  2.19069454707 & +  0.04 x_{25} & +  0.01 x_{30} & -0.01 x_{18} & -0.63 x_{4} & +  0.08 x_{28} & -0.47 x_{12} & +  0.03 x_{27} & +  0.01 x_{29} & +  0.78 x_{3} & +  0.22 x_{10} & +  0.05 x_{19} & +  0.37 x_{11} & -0.01 x_{24} & -0.24 x_{14} & -0.87 x_{6}\\
 x_{20}   &  19.7617852456 & +  1.54 x_{25} & +  0.33 x_{30} & -1.28 x_{18} & -6.62 x_{4} & +  1.32 x_{28} & + 10.55 x_{12} & -0.72 x_{27} & +  1.21 x_{29} & +  2.63 x_{3} & -26.99 x_{10} & -2.23 x_{19} & -10.98 x_{11} & -0.15 x_{24} & + 18.05 x_{14} & + 19.16 x_{6}\\
 x_{23}   &  16.1893248957 & +  0.53 x_{25} & -0.75 x_{30} & -0.16 x_{18} & -32.90 x_{4} & +  2.11 x_{28} & +  0.07 x_{12} & +  1.21 x_{27} & -0.74 x_{29} & + 35.04 x_{3} & +  2.77 x_{10} & +  0.69 x_{19} & + 28.82 x_{11} & -1.06 x_{24} & -16.38 x_{14} & -27.55 x_{6}\\
 x_{22}   &  42.0780044381 & -1.01 x_{25} & +  1.71 x_{30} & -0.01 x_{18} & + 18.06 x_{4} & -2.07 x_{28} & -1.93 x_{12} & -0.10 x_{27} & +  0.62 x_{29} & -5.80 x_{3} & +  0.25 x_{10} & -0.83 x_{19} & -28.12 x_{11} & +  1.03 x_{24} & + 12.35 x_{14} & + 22.53 x_{6}\\
 x_{9}   &  0.570582282679 & -0.12 x_{25} & -0.01 x_{30} & +  0.05 x_{18} & +  1.11 x_{4} & -0.14 x_{28} & -0.70 x_{12} & -0.01 x_{27} & +  0.01 x_{29} & -1.29 x_{3} & +  0.75 x_{10} & +  0.04 x_{19} & +  0.30 x_{11} & -0.02 x_{24} & -0.04 x_{14} & +  0.07 x_{6}\\
 x_{21}   &  5.3900156175 & -1.34 x_{25} & +  0.11 x_{30} & +  0.16 x_{18} & + 16.87 x_{4} & -1.41 x_{28} & +  6.45 x_{12} & +  0.37 x_{27} & +  0.20 x_{29} & -6.01 x_{3} & +  0.19 x_{10} & -0.10 x_{19} & + 11.78 x_{11} & +  0.28 x_{24} & -8.06 x_{14} & +  8.34 x_{6}\\
 x_{1}   &  0.940131621469 & -0.02 x_{25} & +  0.05 x_{30} & -0.04 x_{18} & -0.05 x_{4} & -0.03 x_{28} & +  0.41 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & +  0.77 x_{3} & -0.20 x_{10} & -0.01 x_{19} & -0.07 x_{11} & +  0.01 x_{24} & +  0.50 x_{14} & +  0.72 x_{6}\\
 x_{26}   &  53.2272610357 & -0.46 x_{25} & +  0.32 x_{30} & +  0.22 x_{18} & +  8.32 x_{4} & -0.59 x_{28} & -16.86 x_{12} & +  0.41 x_{27} & -0.19 x_{29} & +  4.60 x_{3} & +  8.99 x_{10} & +  1.13 x_{19} & -3.14 x_{11} & +  1.13 x_{24} & -12.75 x_{14} & +  4.01 x_{6}\\
 x_{13}   &  1.78060620359 & -0.03 x_{25} & -0.02 x_{30} & +  0.02 x_{18} & -0.55 x_{4} & +  0.03 x_{28} & +  0.20 x_{12} & +  0.07 x_{27} & -0.05 x_{29} & +  0.98 x_{3} & +  0.27 x_{10} & +  0.06 x_{19} & +  1.01 x_{11} & +  0.03 x_{24} & -1.21 x_{14} & -0.38 x_{6}\\
 x_{5}   &  1.31890506708 & -0.04 x_{25} & -0.03 x_{30} & +  0.05 x_{18} & -0.64 x_{4} & +  0.02 x_{28} & -0.22 x_{12} & +  0.01 x_{27} & -0.02 x_{29} & -0.09 x_{3} & +  0.16 x_{10} & +  0.03 x_{19} & +  0.70 x_{11} & -0.06 x_{24} & -0.60 x_{14} & -0.73 x_{6}\\
 x_{8}   &  1.00809705426 & -0.02 x_{25} & +  0.01 x_{30} & +  0.08 x_{18} & -0.29 x_{4} & -0.07 x_{28} & -0.82 x_{12} & +  0.04 x_{27} & -0.03 x_{29} & -0.59 x_{3} & +  0.96 x_{10} & +  0.04 x_{19} & +  0.12 x_{11} & +  0.03 x_{24} & -0.50 x_{14} & -0.76 x_{6}\\
 x_{2}   &  0.810316084334 & -0.08 x_{25} & +  0.11 x_{30} & -0.02 x_{18} & +  1.87 x_{4} & -0.12 x_{28} & +  0.18 x_{12} & -0.05 x_{27} & +  0.01 x_{29} & -0.52 x_{3} & +  0.09 x_{10} & -0.05 x_{19} & -1.14 x_{11} & +  0.08 x_{24} & +  1.03 x_{14} & +  2.29 x_{6}\\
 x_{31}   &  36.8737226399 & -1.36 x_{25} & -0.44 x_{30} & +  0.58 x_{18} & + 11.28 x_{4} & -1.32 x_{28} & -15.11 x_{12} & -0.20 x_{27} & +  0.02 x_{29} & -4.00 x_{3} & +  6.01 x_{10} & +  0.26 x_{19} & +  4.89 x_{11} & -0.71 x_{24} & -6.47 x_{14} & -1.57 x_{6}\\
\hline
z    &  8.18261406711 & -0.44 x_{25} & -0.58 x_{30} & +  0.43 x_{18} & -9.36 x_{4} & +  0.13 x_{28} & -2.01 x_{12} & +  0.30 x_{27} & -0.24 x_{29} & -4.44 x_{3} & +  0.33 x_{10} & +  0.53 x_{19} & + 11.55 x_{11} & -0.38 x_{24} & -5.44 x_{14} & -9.26 x_{6}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  34.5216761487 & +  0.52 x_{25} & -1.55 x_{30} & +  1.03 x_{18} & -30.33 x_{4} & +  1.34 x_{28} & -7.33 x_{12} & +  0.83 x_{27} & -0.67 x_{29} & -0.29 x_{3} & -0.12 x_{20} & +  1.90 x_{19} & + 24.00 x_{11} & -0.51 x_{24} & -35.78 x_{14} & -40.68 x_{6}\\
 x_{17}   &  31.107107221 & +  0.06 x_{25} & -0.21 x_{30} & +  0.12 x_{18} & -5.50 x_{4} & +  0.59 x_{28} & -1.30 x_{12} & -0.00 x_{27} & -0.55 x_{29} & + 12.30 x_{3} & +  0.73 x_{20} & +  0.38 x_{19} & -3.71 x_{11} & -0.47 x_{24} & -8.82 x_{14} & -12.48 x_{6}\\
 x_{7}   &  1.57331553421 & -0.03 x_{25} & +  0.04 x_{30} & +  0.02 x_{18} & +  0.11 x_{4} & -0.04 x_{28} & +  0.04 x_{12} & +  0.02 x_{27} & +  0.03 x_{29} & -0.31 x_{3} & +  0.00 x_{20} & -0.06 x_{19} & -0.48 x_{11} & -0.02 x_{24} & +  0.58 x_{14} & -0.31 x_{6}\\
 x_{15}   &  2.35403467489 & +  0.05 x_{25} & +  0.01 x_{30} & -0.02 x_{18} & -0.69 x_{4} & +  0.09 x_{28} & -0.38 x_{12} & +  0.03 x_{27} & +  0.02 x_{29} & +  0.80 x_{3} & -0.01 x_{20} & +  0.04 x_{19} & +  0.28 x_{11} & -0.01 x_{24} & -0.09 x_{14} & -0.72 x_{6}\\
 x_{10}   &  0.732139960149 & +  0.06 x_{25} & +  0.01 x_{30} & -0.05 x_{18} & -0.25 x_{4} & +  0.05 x_{28} & +  0.39 x_{12} & -0.03 x_{27} & +  0.04 x_{29} & +  0.10 x_{3} & -0.04 x_{20} & -0.08 x_{19} & -0.41 x_{11} & -0.01 x_{24} & +  0.67 x_{14} & +  0.71 x_{6}\\
 x_{23}   &  18.2175316194 & +  0.69 x_{25} & -0.71 x_{30} & -0.29 x_{18} & -33.58 x_{4} & +  2.25 x_{28} & +  1.16 x_{12} & +  1.13 x_{27} & -0.62 x_{29} & + 35.31 x_{3} & -0.10 x_{20} & +  0.47 x_{19} & + 27.69 x_{11} & -1.08 x_{24} & -14.53 x_{14} & -25.59 x_{6}\\
 x_{22}   &  42.2589435917 & -0.99 x_{25} & +  1.72 x_{30} & -0.02 x_{18} & + 18.00 x_{4} & -2.06 x_{28} & -1.84 x_{12} & -0.11 x_{27} & +  0.63 x_{29} & -5.77 x_{3} & -0.01 x_{20} & -0.85 x_{19} & -28.22 x_{11} & +  1.03 x_{24} & + 12.52 x_{14} & + 22.71 x_{6}\\
 x_{9}   &  1.1230872898 & -0.08 x_{25} & -0.00 x_{30} & +  0.01 x_{18} & +  0.93 x_{4} & -0.11 x_{28} & -0.40 x_{12} & -0.03 x_{27} & +  0.04 x_{29} & -1.22 x_{3} & -0.03 x_{20} & -0.02 x_{19} & -0.00 x_{11} & -0.02 x_{24} & +  0.46 x_{14} & +  0.61 x_{6}\\
 x_{21}   &  5.52861297208 & -1.33 x_{25} & +  0.11 x_{30} & +  0.15 x_{18} & + 16.82 x_{4} & -1.40 x_{28} & +  6.52 x_{12} & +  0.36 x_{27} & +  0.21 x_{29} & -5.99 x_{3} & -0.01 x_{20} & -0.11 x_{19} & + 11.71 x_{11} & +  0.28 x_{24} & -7.93 x_{14} & +  8.47 x_{6}\\
 x_{1}   &  0.792151377196 & -0.04 x_{25} & +  0.05 x_{30} & -0.03 x_{18} & -0.01 x_{4} & -0.04 x_{28} & +  0.33 x_{12} & +  0.03 x_{27} & -0.04 x_{29} & +  0.75 x_{3} & +  0.01 x_{20} & +  0.01 x_{19} & +  0.01 x_{11} & +  0.01 x_{24} & +  0.37 x_{14} & +  0.57 x_{6}\\
 x_{26}   &  59.8105822622 & +  0.05 x_{25} & +  0.43 x_{30} & -0.21 x_{18} & +  6.12 x_{4} & -0.15 x_{28} & -13.35 x_{12} & +  0.17 x_{27} & +  0.22 x_{29} & +  5.48 x_{3} & -0.33 x_{20} & +  0.39 x_{19} & -6.80 x_{11} & +  1.08 x_{24} & -6.74 x_{14} & + 10.40 x_{6}\\
 x_{13}   &  1.9795838024 & -0.01 x_{25} & -0.01 x_{30} & +  0.01 x_{18} & -0.62 x_{4} & +  0.04 x_{28} & +  0.31 x_{12} & +  0.06 x_{27} & -0.04 x_{29} & +  1.00 x_{3} & -0.01 x_{20} & +  0.04 x_{19} & +  0.89 x_{11} & +  0.03 x_{24} & -1.03 x_{14} & -0.19 x_{6}\\
 x_{5}   &  1.43420942655 & -0.03 x_{25} & -0.03 x_{30} & +  0.04 x_{18} & -0.68 x_{4} & +  0.02 x_{28} & -0.16 x_{12} & +  0.00 x_{27} & -0.02 x_{29} & -0.08 x_{3} & -0.01 x_{20} & +  0.01 x_{19} & +  0.64 x_{11} & -0.06 x_{24} & -0.49 x_{14} & -0.62 x_{6}\\
 x_{8}   &  1.71205430578 & +  0.03 x_{25} & +  0.02 x_{30} & +  0.03 x_{18} & -0.52 x_{4} & -0.03 x_{28} & -0.44 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & -0.50 x_{3} & -0.04 x_{20} & -0.04 x_{19} & -0.27 x_{11} & +  0.02 x_{24} & +  0.14 x_{14} & -0.08 x_{6}\\
 x_{2}   &  0.878133946439 & -0.07 x_{25} & +  0.11 x_{30} & -0.02 x_{18} & +  1.84 x_{4} & -0.11 x_{28} & +  0.22 x_{12} & -0.05 x_{27} & +  0.02 x_{29} & -0.51 x_{3} & -0.00 x_{20} & -0.05 x_{19} & -1.17 x_{11} & +  0.08 x_{24} & +  1.10 x_{14} & +  2.36 x_{6}\\
 x_{31}   &  41.2774625709 & -1.02 x_{25} & -0.36 x_{30} & +  0.30 x_{18} & +  9.81 x_{4} & -1.02 x_{28} & -12.76 x_{12} & -0.36 x_{27} & +  0.29 x_{29} & -3.42 x_{3} & -0.22 x_{20} & -0.24 x_{19} & +  2.44 x_{11} & -0.75 x_{24} & -2.44 x_{14} & +  2.70 x_{6}\\
\hline
z    &  8.42102473362 & -0.42 x_{25} & -0.57 x_{30} & +  0.42 x_{18} & -9.44 x_{4} & +  0.14 x_{28} & -1.89 x_{12} & +  0.29 x_{27} & -0.22 x_{29} & -4.41 x_{3} & -0.01 x_{20} & +  0.50 x_{19} & + 11.42 x_{11} & -0.38 x_{24} & -5.23 x_{14} & -9.03 x_{6}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  52.4778308614 & -0.99 x_{25} & +  0.67 x_{30} & +  0.54 x_{18} & +  7.35 x_{4} & -0.98 x_{28} & -2.92 x_{12} & -0.27 x_{27} & -0.36 x_{29} & -10.78 x_{3} & -0.19 x_{20} & +  0.78 x_{19} & -20.45 x_{2} & +  1.21 x_{24} & -13.36 x_{14} & +  7.50 x_{6}\\
 x_{17}   &  28.330783373 & +  0.29 x_{25} & -0.56 x_{30} & +  0.19 x_{18} & -11.33 x_{4} & +  0.95 x_{28} & -1.98 x_{12} & +  0.17 x_{27} & -0.60 x_{29} & + 13.92 x_{3} & +  0.74 x_{20} & +  0.56 x_{19} & +  3.16 x_{2} & -0.74 x_{24} & -12.28 x_{14} & -19.93 x_{6}\\
 x_{7}   &  1.21730649476 & +  0.00 x_{25} & -0.01 x_{30} & +  0.03 x_{18} & -0.64 x_{4} & +  0.01 x_{28} & -0.04 x_{12} & +  0.04 x_{27} & +  0.03 x_{29} & -0.10 x_{3} & +  0.00 x_{20} & -0.04 x_{19} & +  0.41 x_{2} & -0.05 x_{24} & +  0.14 x_{14} & -1.27 x_{6}\\
 x_{15}   &  2.5643678406 & +  0.03 x_{25} & +  0.04 x_{30} & -0.02 x_{18} & -0.25 x_{4} & +  0.06 x_{28} & -0.33 x_{12} & +  0.01 x_{27} & +  0.02 x_{29} & +  0.68 x_{3} & -0.01 x_{20} & +  0.02 x_{19} & -0.24 x_{2} & +  0.01 x_{24} & +  0.18 x_{14} & -0.15 x_{6}\\
 x_{10}   &  0.427680010452 & +  0.08 x_{25} & -0.03 x_{30} & -0.04 x_{18} & -0.88 x_{4} & +  0.09 x_{28} & +  0.32 x_{12} & -0.01 x_{27} & +  0.04 x_{29} & +  0.28 x_{3} & -0.04 x_{20} & -0.06 x_{19} & +  0.35 x_{2} & -0.03 x_{24} & +  0.29 x_{14} & -0.11 x_{6}\\
 x_{23}   &  38.9357694645 & -1.05 x_{25} & +  1.86 x_{30} & -0.85 x_{18} & +  9.90 x_{4} & -0.42 x_{28} & +  6.25 x_{12} & -0.14 x_{27} & -0.26 x_{29} & + 23.21 x_{3} & -0.18 x_{20} & -0.83 x_{19} & -23.59 x_{2} & +  0.91 x_{24} & + 11.33 x_{14} & + 30.00 x_{6}\\
 x_{22}   &  21.1478421706 & +  0.78 x_{25} & -0.90 x_{30} & +  0.55 x_{18} & -26.31 x_{4} & +  0.67 x_{28} & -7.03 x_{12} & +  1.19 x_{27} & +  0.26 x_{29} & +  6.56 x_{3} & +  0.07 x_{20} & +  0.46 x_{19} & + 24.04 x_{2} & -1.00 x_{24} & -13.83 x_{14} & -33.93 x_{6}\\
 x_{9}   &  1.11981441764 & -0.08 x_{25} & -0.00 x_{30} & +  0.01 x_{18} & +  0.92 x_{4} & -0.11 x_{28} & -0.40 x_{12} & -0.03 x_{27} & +  0.04 x_{29} & -1.22 x_{3} & -0.03 x_{20} & -0.02 x_{19} & +  0.00 x_{2} & -0.02 x_{24} & +  0.46 x_{14} & +  0.60 x_{6}\\
 x_{21}   &  14.2853280296 & -2.07 x_{25} & +  1.20 x_{30} & -0.09 x_{18} & + 35.20 x_{4} & -2.53 x_{28} & +  8.68 x_{12} & -0.18 x_{27} & +  0.36 x_{29} & -11.11 x_{3} & -0.04 x_{20} & -0.66 x_{19} & -9.97 x_{2} & +  1.12 x_{24} & +  3.00 x_{14} & + 31.97 x_{6}\\
 x_{1}   &  0.803049735523 & -0.04 x_{25} & +  0.05 x_{30} & -0.03 x_{18} & +  0.02 x_{4} & -0.04 x_{28} & +  0.33 x_{12} & +  0.02 x_{27} & -0.04 x_{29} & +  0.74 x_{3} & +  0.01 x_{20} & +  0.01 x_{19} & -0.01 x_{2} & +  0.01 x_{24} & +  0.38 x_{14} & +  0.60 x_{6}\\
 x_{26}   &  54.7238313828 & +  0.48 x_{25} & -0.20 x_{30} & -0.07 x_{18} & -4.56 x_{4} & +  0.50 x_{28} & -14.60 x_{12} & +  0.48 x_{27} & +  0.13 x_{29} & +  8.45 x_{3} & -0.31 x_{20} & +  0.70 x_{19} & +  5.79 x_{2} & +  0.59 x_{24} & -13.09 x_{14} & -3.25 x_{6}\\
 x_{13}   &  2.64892851306 & -0.07 x_{25} & +  0.07 x_{30} & -0.01 x_{18} & +  0.79 x_{4} & -0.04 x_{28} & +  0.47 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & +  0.61 x_{3} & -0.01 x_{20} & -0.00 x_{19} & -0.76 x_{2} & +  0.09 x_{24} & -0.20 x_{14} & +  1.60 x_{6}\\
 x_{5}   &  1.91268454375 & -0.07 x_{25} & +  0.03 x_{30} & +  0.03 x_{18} & +  0.33 x_{4} & -0.04 x_{28} & -0.04 x_{12} & -0.03 x_{27} & -0.01 x_{29} & -0.36 x_{3} & -0.01 x_{20} & -0.01 x_{19} & -0.54 x_{2} & -0.01 x_{24} & +  0.10 x_{14} & +  0.66 x_{6}\\
 x_{8}   &  1.50819030718 & +  0.05 x_{25} & -0.00 x_{30} & +  0.04 x_{18} & -0.95 x_{4} & -0.00 x_{28} & -0.49 x_{12} & +  0.03 x_{27} & +  0.01 x_{29} & -0.38 x_{3} & -0.03 x_{20} & -0.02 x_{19} & +  0.23 x_{2} & +  0.00 x_{24} & -0.11 x_{14} & -0.63 x_{6}\\
 x_{11}   &  0.748106793907 & -0.06 x_{25} & +  0.09 x_{30} & -0.02 x_{18} & +  1.57 x_{4} & -0.10 x_{28} & +  0.18 x_{12} & -0.05 x_{27} & +  0.01 x_{29} & -0.44 x_{3} & -0.00 x_{20} & -0.05 x_{19} & -0.85 x_{2} & +  0.07 x_{24} & +  0.93 x_{14} & +  2.01 x_{6}\\
 x_{31}   &  43.1030836928 & -1.17 x_{25} & -0.14 x_{30} & +  0.25 x_{18} & + 13.64 x_{4} & -1.26 x_{28} & -12.31 x_{12} & -0.47 x_{27} & +  0.32 x_{29} & -4.48 x_{3} & -0.23 x_{20} & -0.35 x_{19} & -2.08 x_{2} & -0.57 x_{24} & -0.16 x_{14} & +  7.60 x_{6}\\
\hline
z    &  16.9607228402 & -1.14 x_{25} & +  0.49 x_{30} & +  0.19 x_{18} & +  8.48 x_{4} & -0.96 x_{28} & +  0.21 x_{12} & -0.23 x_{27} & -0.07 x_{29} & -9.40 x_{3} & -0.05 x_{20} & -0.03 x_{19} & -9.72 x_{2} & +  0.44 x_{24} & +  5.43 x_{14} & + 13.88 x_{6}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  56.0350374349 & -0.30 x_{25} & +  0.46 x_{30} & +  0.22 x_{18} & -8.32 x_{10} & -0.25 x_{28} & -0.29 x_{12} & -0.34 x_{27} & -0.03 x_{29} & -8.49 x_{3} & -0.49 x_{20} & +  0.25 x_{19} & -17.56 x_{2} & +  0.92 x_{24} & -10.96 x_{14} & +  6.61 x_{6}\\
 x_{17}   &  22.8534464342 & -0.77 x_{25} & -0.23 x_{30} & +  0.69 x_{18} & + 12.81 x_{10} & -0.18 x_{28} & -6.03 x_{12} & +  0.27 x_{27} & -1.10 x_{29} & + 10.40 x_{3} & +  1.20 x_{20} & +  1.37 x_{19} & -1.28 x_{2} & -0.29 x_{24} & -15.98 x_{14} & -18.56 x_{6}\\
 x_{7}   &  0.907369368348 & -0.06 x_{25} & +  0.01 x_{30} & +  0.06 x_{18} & +  0.72 x_{10} & -0.05 x_{28} & -0.27 x_{12} & +  0.05 x_{27} & -0.00 x_{29} & -0.30 x_{3} & +  0.03 x_{20} & +  0.00 x_{19} & +  0.15 x_{2} & -0.03 x_{24} & -0.07 x_{14} & -1.19 x_{6}\\
 x_{15}   &  2.44555369881 & +  0.01 x_{25} & +  0.05 x_{30} & -0.01 x_{18} & +  0.28 x_{10} & +  0.04 x_{28} & -0.42 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & +  0.60 x_{3} & +  0.00 x_{20} & +  0.04 x_{19} & -0.34 x_{2} & +  0.02 x_{24} & +  0.10 x_{14} & -0.12 x_{6}\\
 x_{4}   &  0.483646713009 & +  0.09 x_{25} & -0.03 x_{30} & -0.04 x_{18} & -1.13 x_{10} & +  0.10 x_{28} & +  0.36 x_{12} & -0.01 x_{27} & +  0.04 x_{29} & +  0.31 x_{3} & -0.04 x_{20} & -0.07 x_{19} & +  0.39 x_{2} & -0.04 x_{24} & +  0.33 x_{14} & -0.12 x_{6}\\
 x_{23}   &  43.7256754947 & -0.13 x_{25} & +  1.57 x_{30} & -1.29 x_{18} & -11.20 x_{10} & +  0.56 x_{28} & +  9.79 x_{12} & -0.23 x_{27} & +  0.18 x_{29} & + 26.29 x_{3} & -0.59 x_{20} & -1.54 x_{19} & -19.71 x_{2} & +  0.52 x_{24} & + 14.56 x_{14} & + 28.80 x_{6}\\
 x_{22}   &  8.42547746384 & -1.68 x_{25} & -0.14 x_{30} & +  1.71 x_{18} & + 29.75 x_{10} & -1.95 x_{28} & -16.43 x_{12} & +  1.43 x_{27} & -0.92 x_{29} & -1.63 x_{3} & +  1.14 x_{20} & +  2.36 x_{19} & + 13.73 x_{2} & +  0.04 x_{24} & -22.42 x_{14} & -30.75 x_{6}\\
 x_{9}   &  1.56600266182 & +  0.01 x_{25} & -0.03 x_{30} & -0.03 x_{18} & -1.04 x_{10} & -0.02 x_{28} & -0.07 x_{12} & -0.04 x_{27} & +  0.08 x_{29} & -0.93 x_{3} & -0.07 x_{20} & -0.09 x_{19} & +  0.37 x_{2} & -0.06 x_{24} & +  0.76 x_{14} & +  0.48 x_{6}\\
 x_{21}   &  31.3082479972 & +  1.22 x_{25} & +  0.18 x_{30} & -1.64 x_{18} & -39.80 x_{10} & +  0.97 x_{28} & + 21.26 x_{12} & -0.50 x_{27} & +  1.94 x_{29} & -0.15 x_{3} & -1.47 x_{20} & -3.19 x_{19} & +  3.83 x_{2} & -0.27 x_{24} & + 14.49 x_{14} & + 27.71 x_{6}\\
 x_{1}   &  0.811576710515 & -0.03 x_{25} & +  0.05 x_{30} & -0.03 x_{18} & -0.02 x_{10} & -0.04 x_{28} & +  0.34 x_{12} & +  0.02 x_{27} & -0.04 x_{29} & +  0.75 x_{3} & +  0.01 x_{20} & +  0.01 x_{19} & -0.01 x_{2} & +  0.01 x_{24} & +  0.39 x_{14} & +  0.60 x_{6}\\
 x_{26}   &  52.5193632511 & +  0.05 x_{25} & -0.07 x_{30} & +  0.13 x_{18} & +  5.15 x_{10} & +  0.05 x_{28} & -16.23 x_{12} & +  0.52 x_{27} & -0.08 x_{29} & +  7.03 x_{3} & -0.13 x_{20} & +  1.03 x_{19} & +  4.01 x_{2} & +  0.77 x_{24} & -14.57 x_{14} & -2.70 x_{6}\\
 x_{13}   &  3.03079071012 & +  0.01 x_{25} & +  0.05 x_{30} & -0.04 x_{18} & -0.89 x_{10} & +  0.03 x_{28} & +  0.76 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & +  0.86 x_{3} & -0.04 x_{20} & -0.06 x_{19} & -0.45 x_{2} & +  0.06 x_{24} & +  0.06 x_{14} & +  1.51 x_{6}\\
 x_{5}   &  2.0715327826 & -0.04 x_{25} & +  0.02 x_{30} & +  0.01 x_{18} & -0.37 x_{10} & -0.01 x_{28} & +  0.08 x_{12} & -0.03 x_{27} & +  0.01 x_{29} & -0.25 x_{3} & -0.02 x_{20} & -0.04 x_{19} & -0.42 x_{2} & -0.03 x_{24} & +  0.21 x_{14} & +  0.62 x_{6}\\
 x_{8}   &  1.04799332894 & -0.04 x_{25} & +  0.02 x_{30} & +  0.08 x_{18} & +  1.08 x_{10} & -0.10 x_{28} & -0.83 x_{12} & +  0.04 x_{27} & -0.04 x_{29} & -0.68 x_{3} & +  0.00 x_{20} & +  0.05 x_{19} & -0.14 x_{2} & +  0.04 x_{24} & -0.42 x_{14} & -0.51 x_{6}\\
 x_{11}   &  1.50745326174 & +  0.08 x_{25} & +  0.05 x_{30} & -0.09 x_{18} & -1.78 x_{10} & +  0.06 x_{28} & +  0.75 x_{12} & -0.06 x_{27} & +  0.08 x_{29} & +  0.05 x_{3} & -0.07 x_{20} & -0.16 x_{19} & -0.24 x_{2} & +  0.01 x_{24} & +  1.45 x_{14} & +  1.82 x_{6}\\
 x_{31}   &  49.700331736 & +  0.10 x_{25} & -0.53 x_{30} & -0.35 x_{18} & -15.43 x_{10} & +  0.10 x_{28} & -7.43 x_{12} & -0.59 x_{27} & +  0.93 x_{29} & -0.23 x_{3} & -0.78 x_{20} & -1.33 x_{19} & +  3.27 x_{2} & -1.11 x_{24} & +  4.29 x_{14} & +  5.95 x_{6}\\
\hline
z    &  21.0626185855 & -0.35 x_{25} & +  0.24 x_{30} & -0.19 x_{18} & -9.59 x_{10} & -0.12 x_{28} & +  3.25 x_{12} & -0.31 x_{27} & +  0.31 x_{29} & -6.75 x_{3} & -0.39 x_{20} & -0.64 x_{19} & -6.40 x_{2} & +  0.10 x_{24} & +  8.20 x_{14} & + 12.85 x_{6}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  57.8458649725 & -0.66 x_{25} & +  0.43 x_{30} & +  0.59 x_{18} & -1.92 x_{10} & -0.67 x_{28} & -3.82 x_{12} & -0.03 x_{27} & -0.22 x_{29} & -8.84 x_{3} & -0.24 x_{20} & +  0.75 x_{19} & -14.61 x_{2} & +  0.93 x_{24} & -15.78 x_{14} & -0.21 x_{22}\\
 x_{17}   &  17.7672242956 & +  0.25 x_{25} & -0.15 x_{30} & -0.34 x_{18} & -5.15 x_{10} & +  1.00 x_{28} & +  3.89 x_{12} & -0.59 x_{27} & -0.55 x_{29} & + 11.38 x_{3} & +  0.51 x_{20} & -0.05 x_{19} & -9.57 x_{2} & -0.32 x_{24} & -2.45 x_{14} & +  0.60 x_{22}\\
 x_{7}   &  0.581406165002 & +  0.01 x_{25} & +  0.02 x_{30} & -0.00 x_{18} & -0.43 x_{10} & +  0.02 x_{28} & +  0.36 x_{12} & -0.00 x_{27} & +  0.03 x_{29} & -0.24 x_{3} & -0.01 x_{20} & -0.09 x_{19} & -0.38 x_{2} & -0.03 x_{24} & +  0.80 x_{14} & +  0.04 x_{22}\\
 x_{15}   &  2.41218999353 & +  0.02 x_{25} & +  0.05 x_{30} & -0.02 x_{18} & +  0.16 x_{10} & +  0.05 x_{28} & -0.35 x_{12} & +  0.01 x_{27} & +  0.01 x_{29} & +  0.61 x_{3} & -0.00 x_{20} & +  0.03 x_{19} & -0.39 x_{2} & +  0.02 x_{24} & +  0.19 x_{14} & +  0.00 x_{22}\\
 x_{4}   &  0.450506456365 & +  0.10 x_{25} & -0.03 x_{30} & -0.05 x_{18} & -1.25 x_{10} & +  0.11 x_{28} & +  0.42 x_{12} & -0.01 x_{27} & +  0.05 x_{29} & +  0.32 x_{3} & -0.05 x_{20} & -0.08 x_{19} & +  0.34 x_{2} & -0.04 x_{24} & +  0.41 x_{14} & +  0.00 x_{22}\\
 x_{23}   &  51.6171936561 & -1.70 x_{25} & +  1.44 x_{30} & +  0.31 x_{18} & + 16.66 x_{10} & -1.26 x_{28} & -5.60 x_{12} & +  1.10 x_{27} & -0.68 x_{29} & + 24.76 x_{3} & +  0.48 x_{20} & +  0.67 x_{19} & -6.85 x_{2} & +  0.55 x_{24} & -6.44 x_{14} & -0.94 x_{22}\\
 x_{6}   &  0.273987785859 & -0.05 x_{25} & -0.00 x_{30} & +  0.06 x_{18} & +  0.97 x_{10} & -0.06 x_{28} & -0.53 x_{12} & +  0.05 x_{27} & -0.03 x_{29} & -0.05 x_{3} & +  0.04 x_{20} & +  0.08 x_{19} & +  0.45 x_{2} & +  0.00 x_{24} & -0.73 x_{14} & -0.03 x_{22}\\
 x_{9}   &  1.6988140945 & -0.02 x_{25} & -0.03 x_{30} & -0.00 x_{18} & -0.57 x_{10} & -0.05 x_{28} & -0.33 x_{12} & -0.02 x_{27} & +  0.07 x_{29} & -0.96 x_{3} & -0.05 x_{20} & -0.05 x_{19} & +  0.58 x_{2} & -0.06 x_{24} & +  0.40 x_{14} & -0.02 x_{22}\\
 x_{21}   &  38.9003129938 & -0.29 x_{25} & +  0.05 x_{30} & -0.10 x_{18} & -13.00 x_{10} & -0.79 x_{28} & +  6.45 x_{12} & +  0.79 x_{27} & +  1.11 x_{29} & -1.62 x_{3} & -0.44 x_{20} & -1.07 x_{19} & + 16.20 x_{2} & -0.24 x_{24} & -5.71 x_{14} & -0.90 x_{22}\\
 x_{1}   &  0.975976000506 & -0.07 x_{25} & +  0.04 x_{30} & +  0.00 x_{18} & +  0.56 x_{10} & -0.07 x_{28} & +  0.02 x_{12} & +  0.05 x_{27} & -0.06 x_{29} & +  0.71 x_{3} & +  0.03 x_{20} & +  0.05 x_{19} & +  0.26 x_{2} & +  0.01 x_{24} & -0.05 x_{14} & -0.02 x_{22}\\
 x_{26}   &  51.7792491916 & +  0.20 x_{25} & -0.06 x_{30} & -0.02 x_{18} & +  2.54 x_{10} & +  0.22 x_{28} & -14.78 x_{12} & +  0.40 x_{27} & +  0.00 x_{29} & +  7.18 x_{3} & -0.23 x_{20} & +  0.82 x_{19} & +  2.80 x_{2} & +  0.77 x_{24} & -12.60 x_{14} & +  0.09 x_{22}\\
 x_{13}   &  3.44421803559 & -0.07 x_{25} & +  0.04 x_{30} & +  0.04 x_{18} & +  0.57 x_{10} & -0.06 x_{28} & -0.05 x_{12} & +  0.09 x_{27} & -0.04 x_{29} & +  0.78 x_{3} & +  0.01 x_{20} & +  0.06 x_{19} & +  0.22 x_{2} & +  0.06 x_{24} & -1.04 x_{14} & -0.05 x_{22}\\
 x_{5}   &  2.24180150705 & -0.07 x_{25} & +  0.02 x_{30} & +  0.05 x_{18} & +  0.23 x_{10} & -0.04 x_{28} & -0.25 x_{12} & +  0.00 x_{27} & -0.01 x_{29} & -0.29 x_{3} & +  0.00 x_{20} & +  0.01 x_{19} & -0.14 x_{2} & -0.02 x_{24} & -0.24 x_{14} & -0.02 x_{22}\\
 x_{8}   &  0.907368138062 & -0.01 x_{25} & +  0.03 x_{30} & +  0.05 x_{18} & +  0.58 x_{10} & -0.06 x_{28} & -0.56 x_{12} & +  0.01 x_{27} & -0.02 x_{29} & -0.65 x_{3} & -0.02 x_{20} & +  0.01 x_{19} & -0.37 x_{2} & +  0.04 x_{24} & -0.05 x_{14} & +  0.02 x_{22}\\
 x_{11}   &  2.00535526163 & -0.02 x_{25} & +  0.04 x_{30} & +  0.01 x_{18} & -0.02 x_{10} & -0.06 x_{28} & -0.23 x_{12} & +  0.02 x_{27} & +  0.03 x_{29} & -0.04 x_{3} & +  0.00 x_{20} & -0.02 x_{19} & +  0.57 x_{2} & +  0.01 x_{24} & +  0.12 x_{14} & -0.06 x_{22}\\
 x_{31}   &  51.3296647031 & -0.22 x_{25} & -0.56 x_{30} & -0.02 x_{18} & -9.67 x_{10} & -0.28 x_{28} & -10.61 x_{12} & -0.32 x_{27} & +  0.75 x_{29} & -0.55 x_{3} & -0.56 x_{20} & -0.88 x_{19} & +  5.92 x_{2} & -1.10 x_{24} & -0.05 x_{14} & -0.19 x_{22}\\
\hline
z    &  24.5846954129 & -1.05 x_{25} & +  0.18 x_{30} & +  0.53 x_{18} & +  2.84 x_{10} & -0.93 x_{28} & -3.62 x_{12} & +  0.28 x_{27} & -0.08 x_{29} & -7.44 x_{3} & +  0.09 x_{20} & +  0.34 x_{19} & -0.66 x_{2} & +  0.12 x_{24} & -1.17 x_{14} & -0.42 x_{22}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  57.1512407372 & -0.81 x_{25} & +  0.47 x_{30} & +  0.66 x_{18} & +  1.54 x_{4} & -0.83 x_{28} & -4.47 x_{12} & -0.01 x_{27} & -0.30 x_{29} & -9.33 x_{3} & -0.17 x_{20} & +  0.88 x_{19} & -15.14 x_{2} & +  0.99 x_{24} & -16.42 x_{14} & -0.22 x_{22}\\
 x_{17}   &  15.907761614 & -0.17 x_{25} & -0.03 x_{30} & -0.13 x_{18} & +  4.13 x_{4} & +  0.56 x_{28} & +  2.15 x_{12} & -0.53 x_{27} & -0.75 x_{29} & + 10.07 x_{3} & +  0.69 x_{20} & +  0.28 x_{19} & -10.96 x_{2} & -0.15 x_{24} & -4.16 x_{14} & +  0.59 x_{22}\\
 x_{7}   &  0.427550849826 & -0.03 x_{25} & +  0.03 x_{30} & +  0.01 x_{18} & +  0.34 x_{4} & -0.02 x_{28} & +  0.22 x_{12} & +  0.00 x_{27} & +  0.02 x_{29} & -0.35 x_{3} & +  0.00 x_{20} & -0.06 x_{19} & -0.49 x_{2} & -0.02 x_{24} & +  0.66 x_{14} & +  0.04 x_{22}\\
 x_{15}   &  2.46995889629 & +  0.03 x_{25} & +  0.04 x_{30} & -0.02 x_{18} & -0.13 x_{4} & +  0.06 x_{28} & -0.30 x_{12} & +  0.01 x_{27} & +  0.02 x_{29} & +  0.65 x_{3} & -0.01 x_{20} & +  0.02 x_{19} & -0.35 x_{2} & +  0.01 x_{24} & +  0.24 x_{14} & +  0.00 x_{22}\\
 x_{10}   &  0.361021001328 & +  0.08 x_{25} & -0.02 x_{30} & -0.04 x_{18} & -0.80 x_{4} & +  0.09 x_{28} & +  0.34 x_{12} & -0.01 x_{27} & +  0.04 x_{29} & +  0.25 x_{3} & -0.04 x_{20} & -0.07 x_{19} & +  0.27 x_{2} & -0.03 x_{24} & +  0.33 x_{14} & +  0.00 x_{22}\\
 x_{23}   &  57.6326796609 & -0.36 x_{25} & +  1.06 x_{30} & -0.36 x_{18} & -13.35 x_{4} & +  0.17 x_{28} & +  0.04 x_{12} & +  0.91 x_{27} & -0.03 x_{29} & + 29.01 x_{3} & -0.12 x_{20} & -0.42 x_{19} & -2.34 x_{2} & +  0.03 x_{24} & -0.90 x_{14} & -0.88 x_{22}\\
 x_{6}   &  0.623223007202 & +  0.02 x_{25} & -0.03 x_{30} & +  0.02 x_{18} & -0.78 x_{4} & +  0.02 x_{28} & -0.21 x_{12} & +  0.03 x_{27} & +  0.01 x_{29} & +  0.19 x_{3} & +  0.00 x_{20} & +  0.01 x_{19} & +  0.71 x_{2} & -0.03 x_{24} & -0.41 x_{14} & -0.03 x_{22}\\
 x_{9}   &  1.49145607573 & -0.07 x_{25} & -0.02 x_{30} & +  0.02 x_{18} & +  0.46 x_{4} & -0.10 x_{28} & -0.53 x_{12} & -0.01 x_{27} & +  0.04 x_{29} & -1.10 x_{3} & -0.03 x_{20} & -0.01 x_{19} & +  0.43 x_{2} & -0.04 x_{24} & +  0.21 x_{14} & -0.02 x_{22}\\
 x_{21}   &  34.2077512142 & -1.33 x_{25} & +  0.35 x_{30} & +  0.43 x_{18} & + 10.42 x_{4} & -1.90 x_{28} & +  2.06 x_{12} & +  0.94 x_{27} & +  0.61 x_{29} & -4.93 x_{3} & +  0.03 x_{20} & -0.22 x_{19} & + 12.68 x_{2} & +  0.18 x_{24} & -10.03 x_{14} & -0.94 x_{22}\\
 x_{1}   &  1.17832762481 & -0.02 x_{25} & +  0.03 x_{30} & -0.02 x_{18} & -0.45 x_{4} & -0.02 x_{28} & +  0.21 x_{12} & +  0.05 x_{27} & -0.04 x_{29} & +  0.86 x_{3} & +  0.01 x_{20} & +  0.02 x_{19} & +  0.41 x_{2} & -0.00 x_{24} & +  0.14 x_{14} & -0.02 x_{22}\\
 x_{26}   &  52.6967473376 & +  0.40 x_{25} & -0.12 x_{30} & -0.12 x_{18} & -2.04 x_{4} & +  0.44 x_{28} & -13.92 x_{12} & +  0.37 x_{27} & +  0.10 x_{29} & +  7.82 x_{3} & -0.32 x_{20} & +  0.66 x_{19} & +  3.49 x_{2} & +  0.69 x_{24} & -11.76 x_{14} & +  0.10 x_{22}\\
 x_{13}   &  3.64884374326 & -0.03 x_{25} & +  0.03 x_{30} & +  0.02 x_{18} & -0.45 x_{4} & -0.01 x_{28} & +  0.14 x_{12} & +  0.08 x_{27} & -0.02 x_{29} & +  0.92 x_{3} & -0.01 x_{20} & +  0.02 x_{19} & +  0.37 x_{2} & +  0.04 x_{24} & -0.85 x_{14} & -0.05 x_{22}\\
 x_{5}   &  2.32474262553 & -0.06 x_{25} & +  0.01 x_{30} & +  0.04 x_{18} & -0.18 x_{4} & -0.02 x_{28} & -0.18 x_{12} & -0.00 x_{27} & -0.00 x_{29} & -0.23 x_{3} & -0.01 x_{20} & -0.01 x_{19} & -0.08 x_{2} & -0.03 x_{24} & -0.17 x_{14} & -0.02 x_{22}\\
 x_{8}   &  1.11659175082 & +  0.03 x_{25} & +  0.01 x_{30} & +  0.03 x_{18} & -0.46 x_{4} & -0.01 x_{28} & -0.36 x_{12} & +  0.01 x_{27} & +  0.00 x_{29} & -0.50 x_{3} & -0.04 x_{20} & -0.03 x_{19} & -0.21 x_{2} & +  0.02 x_{24} & +  0.15 x_{14} & +  0.02 x_{22}\\
 x_{11}   &  1.99900672873 & -0.02 x_{25} & +  0.04 x_{30} & +  0.01 x_{18} & +  0.01 x_{4} & -0.06 x_{28} & -0.23 x_{12} & +  0.02 x_{27} & +  0.03 x_{29} & -0.05 x_{3} & +  0.00 x_{20} & -0.02 x_{19} & +  0.57 x_{2} & +  0.01 x_{24} & +  0.12 x_{14} & -0.06 x_{22}\\
 x_{31}   &  47.8374857056 & -1.00 x_{25} & -0.34 x_{30} & +  0.37 x_{18} & +  7.75 x_{4} & -1.11 x_{28} & -13.88 x_{12} & -0.20 x_{27} & +  0.38 x_{29} & -3.01 x_{3} & -0.21 x_{20} & -0.25 x_{19} & +  3.30 x_{2} & -0.79 x_{24} & -3.26 x_{14} & -0.22 x_{22}\\
\hline
z    &  25.6115015169 & -0.82 x_{25} & +  0.12 x_{30} & +  0.41 x_{18} & -2.28 x_{4} & -0.69 x_{28} & -2.66 x_{12} & +  0.25 x_{27} & +  0.03 x_{29} & -6.71 x_{3} & -0.02 x_{20} & +  0.16 x_{19} & +  0.11 x_{2} & +  0.03 x_{24} & -0.22 x_{14} & -0.41 x_{22}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  44.0086532285 & +  0.08 x_{25} & -0.32 x_{30} & +  0.26 x_{18} & -8.96 x_{4} & -0.33 x_{28} & -11.19 x_{12} & -0.03 x_{27} & -0.80 x_{29} & +  1.41 x_{3} & -0.21 x_{20} & +  2.70 x_{19} & + 30.74 x_{7} & +  1.51 x_{24} & -36.56 x_{14} & -1.37 x_{22}\\
 x_{17}   &  6.39002703364 & +  0.48 x_{25} & -0.60 x_{30} & -0.42 x_{18} & -3.48 x_{4} & +  0.92 x_{28} & -2.72 x_{12} & -0.54 x_{27} & -1.11 x_{29} & + 17.85 x_{3} & +  0.67 x_{20} & +  1.61 x_{19} & + 22.26 x_{7} & +  0.22 x_{24} & -18.74 x_{14} & -0.24 x_{22}\\
 x_{2}   &  0.868337239878 & -0.06 x_{25} & +  0.05 x_{30} & +  0.03 x_{18} & +  0.69 x_{4} & -0.03 x_{28} & +  0.44 x_{12} & +  0.00 x_{27} & +  0.03 x_{29} & -0.71 x_{3} & +  0.00 x_{20} & -0.12 x_{19} & -2.03 x_{7} & -0.03 x_{24} & +  1.33 x_{14} & +  0.08 x_{22}\\
 x_{15}   &  2.16877876353 & +  0.05 x_{25} & +  0.03 x_{30} & -0.03 x_{18} & -0.37 x_{4} & +  0.07 x_{28} & -0.45 x_{12} & +  0.01 x_{27} & +  0.01 x_{29} & +  0.90 x_{3} & -0.01 x_{20} & +  0.06 x_{19} & +  0.70 x_{7} & +  0.02 x_{24} & -0.22 x_{14} & -0.02 x_{22}\\
 x_{10}   &  0.596283485068 & +  0.06 x_{25} & -0.01 x_{30} & -0.03 x_{18} & -0.61 x_{4} & +  0.08 x_{28} & +  0.46 x_{12} & -0.01 x_{27} & +  0.05 x_{29} & +  0.06 x_{3} & -0.04 x_{20} & -0.10 x_{19} & -0.55 x_{7} & -0.04 x_{24} & +  0.69 x_{14} & +  0.02 x_{22}\\
 x_{23}   &  55.6017822159 & -0.23 x_{25} & +  0.94 x_{30} & -0.43 x_{18} & -14.97 x_{4} & +  0.24 x_{28} & -1.00 x_{12} & +  0.90 x_{27} & -0.11 x_{29} & + 30.67 x_{3} & -0.12 x_{20} & -0.13 x_{19} & +  4.75 x_{7} & +  0.11 x_{24} & -4.01 x_{14} & -1.06 x_{22}\\
 x_{6}   &  1.23842250146 & -0.02 x_{25} & +  0.01 x_{30} & +  0.04 x_{18} & -0.28 x_{4} & -0.00 x_{28} & +  0.11 x_{12} & +  0.04 x_{27} & +  0.03 x_{29} & -0.31 x_{3} & +  0.00 x_{20} & -0.07 x_{19} & -1.44 x_{7} & -0.05 x_{24} & +  0.54 x_{14} & +  0.02 x_{22}\\
 x_{9}   &  1.86154949474 & -0.09 x_{25} & +  0.00 x_{30} & +  0.03 x_{18} & +  0.76 x_{4} & -0.11 x_{28} & -0.34 x_{12} & -0.01 x_{27} & +  0.06 x_{29} & -1.40 x_{3} & -0.03 x_{20} & -0.06 x_{19} & -0.87 x_{7} & -0.06 x_{24} & +  0.78 x_{14} & +  0.01 x_{22}\\
 x_{21}   &  45.2146659403 & -2.08 x_{25} & +  1.01 x_{30} & +  0.77 x_{18} & + 19.21 x_{4} & -2.32 x_{28} & +  7.69 x_{12} & +  0.96 x_{27} & +  1.02 x_{29} & -13.93 x_{3} & +  0.06 x_{20} & -1.75 x_{19} & -25.74 x_{7} & -0.26 x_{24} & +  6.84 x_{14} & +  0.02 x_{22}\\
 x_{1}   &  1.53799732906 & -0.05 x_{25} & +  0.05 x_{30} & -0.01 x_{18} & -0.16 x_{4} & -0.04 x_{28} & +  0.39 x_{12} & +  0.05 x_{27} & -0.02 x_{29} & +  0.56 x_{3} & +  0.01 x_{20} & -0.03 x_{19} & -0.84 x_{7} & -0.02 x_{24} & +  0.69 x_{14} & +  0.01 x_{22}\\
 x_{26}   &  55.7257620995 & +  0.20 x_{25} & +  0.07 x_{30} & -0.03 x_{18} & +  0.38 x_{4} & +  0.32 x_{28} & -12.37 x_{12} & +  0.37 x_{27} & +  0.22 x_{29} & +  5.35 x_{3} & -0.31 x_{20} & +  0.24 x_{19} & -7.08 x_{7} & +  0.57 x_{24} & -7.12 x_{14} & +  0.36 x_{22}\\
 x_{13}   &  3.97400852536 & -0.05 x_{25} & +  0.05 x_{30} & +  0.03 x_{18} & -0.19 x_{4} & -0.03 x_{28} & +  0.31 x_{12} & +  0.08 x_{27} & -0.00 x_{29} & +  0.66 x_{3} & -0.01 x_{20} & -0.02 x_{19} & -0.76 x_{7} & +  0.03 x_{24} & -0.35 x_{14} & -0.02 x_{22}\\
 x_{5}   &  2.25835866332 & -0.05 x_{25} & +  0.01 x_{30} & +  0.04 x_{18} & -0.24 x_{4} & -0.02 x_{28} & -0.21 x_{12} & -0.00 x_{27} & -0.01 x_{29} & -0.17 x_{3} & -0.01 x_{20} & +  0.00 x_{19} & +  0.16 x_{7} & -0.03 x_{24} & -0.27 x_{14} & -0.03 x_{22}\\
 x_{8}   &  0.931624357339 & +  0.05 x_{25} & +  0.00 x_{30} & +  0.02 x_{18} & -0.61 x_{4} & -0.01 x_{28} & -0.46 x_{12} & +  0.01 x_{27} & -0.01 x_{29} & -0.35 x_{3} & -0.04 x_{20} & -0.01 x_{19} & +  0.43 x_{7} & +  0.03 x_{24} & -0.14 x_{14} & +  0.00 x_{22}\\
 x_{11}   &  2.49404159045 & -0.05 x_{25} & +  0.07 x_{30} & +  0.03 x_{18} & +  0.41 x_{4} & -0.08 x_{28} & +  0.02 x_{12} & +  0.02 x_{27} & +  0.05 x_{29} & -0.45 x_{3} & +  0.00 x_{20} & -0.09 x_{19} & -1.16 x_{7} & -0.01 x_{24} & +  0.87 x_{14} & -0.02 x_{22}\\
 x_{31}   &  50.7056819788 & -1.19 x_{25} & -0.17 x_{30} & +  0.46 x_{18} & + 10.04 x_{4} & -1.22 x_{28} & -12.42 x_{12} & -0.20 x_{27} & +  0.49 x_{29} & -5.36 x_{3} & -0.21 x_{20} & -0.65 x_{19} & -6.71 x_{7} & -0.91 x_{24} & +  1.13 x_{14} & +  0.03 x_{22}\\
\hline
z    &  25.7064812671 & -0.83 x_{25} & +  0.12 x_{30} & +  0.42 x_{18} & -2.20 x_{4} & -0.69 x_{28} & -2.61 x_{12} & +  0.25 x_{27} & +  0.04 x_{29} & -6.79 x_{3} & -0.02 x_{20} & +  0.14 x_{19} & -0.22 x_{7} & +  0.03 x_{24} & -0.08 x_{14} & -0.40 x_{22}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  47.9442719327 & +  0.37 x_{25} & -0.69 x_{30} & -0.62 x_{17} & -11.10 x_{4} & +  0.23 x_{28} & -12.87 x_{12} & -0.36 x_{27} & -1.48 x_{29} & + 12.41 x_{3} & +  0.20 x_{20} & +  3.69 x_{19} & + 44.45 x_{7} & +  1.65 x_{24} & -48.10 x_{14} & -1.52 x_{22}\\
 x_{18}   &  15.1488503632 & +  1.14 x_{25} & -1.43 x_{30} & -2.37 x_{17} & -8.24 x_{4} & +  2.17 x_{28} & -6.45 x_{12} & -1.29 x_{27} & -2.64 x_{29} & + 42.33 x_{3} & +  1.58 x_{20} & +  3.81 x_{19} & + 52.77 x_{7} & +  0.53 x_{24} & -44.43 x_{14} & -0.58 x_{22}\\
 x_{2}   &  1.27277775392 & -0.03 x_{25} & +  0.01 x_{30} & -0.06 x_{17} & +  0.47 x_{4} & +  0.03 x_{28} & +  0.27 x_{12} & -0.03 x_{27} & -0.04 x_{29} & +  0.42 x_{3} & +  0.04 x_{20} & -0.02 x_{19} & -0.62 x_{7} & -0.02 x_{24} & +  0.14 x_{14} & +  0.06 x_{22}\\
 x_{15}   &  1.6650687101 & +  0.01 x_{25} & +  0.07 x_{30} & +  0.08 x_{17} & -0.09 x_{4} & +  0.00 x_{28} & -0.24 x_{12} & +  0.05 x_{27} & +  0.10 x_{29} & -0.51 x_{3} & -0.06 x_{20} & -0.06 x_{19} & -1.05 x_{7} & +  0.01 x_{24} & +  1.25 x_{14} & -0.00 x_{22}\\
 x_{10}   &  0.0879290708913 & +  0.03 x_{25} & +  0.04 x_{30} & +  0.08 x_{17} & -0.34 x_{4} & +  0.00 x_{28} & +  0.68 x_{12} & +  0.03 x_{27} & +  0.14 x_{29} & -1.36 x_{3} & -0.09 x_{20} & -0.23 x_{19} & -2.32 x_{7} & -0.06 x_{24} & +  2.18 x_{14} & +  0.04 x_{22}\\
 x_{23}   &  49.126606137 & -0.71 x_{25} & +  1.55 x_{30} & +  1.01 x_{17} & -11.45 x_{4} & -0.69 x_{28} & +  1.75 x_{12} & +  1.45 x_{27} & +  1.02 x_{29} & + 12.58 x_{3} & -0.80 x_{20} & -1.76 x_{19} & -17.81 x_{7} & -0.12 x_{24} & + 14.98 x_{14} & -0.81 x_{22}\\
 x_{6}   &  1.77051659945 & +  0.02 x_{25} & -0.04 x_{30} & -0.08 x_{17} & -0.57 x_{4} & +  0.07 x_{28} & -0.12 x_{12} & -0.01 x_{27} & -0.06 x_{29} & +  1.18 x_{3} & +  0.06 x_{20} & +  0.06 x_{19} & +  0.41 x_{7} & -0.04 x_{24} & -1.03 x_{14} & +  0.00 x_{22}\\
 x_{9}   &  2.3601916318 & -0.05 x_{25} & -0.04 x_{30} & -0.08 x_{17} & +  0.48 x_{4} & -0.04 x_{28} & -0.55 x_{12} & -0.05 x_{27} & -0.03 x_{29} & -0.01 x_{3} & +  0.03 x_{20} & +  0.06 x_{19} & +  0.87 x_{7} & -0.04 x_{24} & -0.68 x_{14} & -0.00 x_{22}\\
 x_{21}   &  56.8444642889 & -1.20 x_{25} & -0.08 x_{30} & -1.82 x_{17} & + 12.88 x_{4} & -0.65 x_{28} & +  2.73 x_{12} & -0.03 x_{27} & -1.00 x_{29} & + 18.56 x_{3} & +  1.27 x_{20} & +  1.17 x_{19} & + 14.77 x_{7} & +  0.15 x_{24} & -27.28 x_{14} & -0.42 x_{22}\\
 x_{1}   &  1.38367207805 & -0.06 x_{25} & +  0.07 x_{30} & +  0.02 x_{17} & -0.08 x_{4} & -0.06 x_{28} & +  0.46 x_{12} & +  0.06 x_{27} & +  0.00 x_{29} & +  0.13 x_{3} & -0.01 x_{20} & -0.07 x_{19} & -1.38 x_{7} & -0.02 x_{24} & +  1.14 x_{14} & +  0.02 x_{22}\\
 x_{26}   &  55.3011635342 & +  0.17 x_{25} & +  0.11 x_{30} & +  0.07 x_{17} & +  0.61 x_{4} & +  0.26 x_{28} & -12.19 x_{12} & +  0.41 x_{27} & +  0.29 x_{29} & +  4.16 x_{3} & -0.36 x_{20} & +  0.13 x_{19} & -8.56 x_{7} & +  0.55 x_{24} & -5.87 x_{14} & +  0.38 x_{22}\\
 x_{13}   &  4.41585645829 & -0.02 x_{25} & +  0.01 x_{30} & -0.07 x_{17} & -0.43 x_{4} & +  0.04 x_{28} & +  0.12 x_{12} & +  0.04 x_{27} & -0.08 x_{29} & +  1.89 x_{3} & +  0.04 x_{20} & +  0.09 x_{19} & +  0.78 x_{7} & +  0.05 x_{24} & -1.65 x_{14} & -0.04 x_{22}\\
 x_{5}   &  2.83665023465 & -0.01 x_{25} & -0.04 x_{30} & -0.09 x_{17} & -0.55 x_{4} & +  0.06 x_{28} & -0.46 x_{12} & -0.05 x_{27} & -0.11 x_{29} & +  1.44 x_{3} & +  0.05 x_{20} & +  0.15 x_{19} & +  2.17 x_{7} & -0.01 x_{24} & -1.96 x_{14} & -0.05 x_{22}\\
 x_{8}   &  1.24525920954 & +  0.07 x_{25} & -0.03 x_{30} & -0.05 x_{17} & -0.78 x_{4} & +  0.04 x_{28} & -0.59 x_{12} & -0.02 x_{27} & -0.06 x_{29} & +  0.52 x_{3} & -0.00 x_{20} & +  0.07 x_{19} & +  1.53 x_{7} & +  0.04 x_{24} & -1.06 x_{14} & -0.01 x_{22}\\
 x_{11}   &  2.91051135351 & -0.02 x_{25} & +  0.03 x_{30} & -0.07 x_{17} & +  0.18 x_{4} & -0.02 x_{28} & -0.16 x_{12} & -0.01 x_{27} & -0.03 x_{29} & +  0.71 x_{3} & +  0.05 x_{20} & +  0.02 x_{19} & +  0.29 x_{7} & +  0.01 x_{24} & -0.35 x_{14} & -0.03 x_{22}\\
 x_{31}   &  57.6696373706 & -0.67 x_{25} & -0.82 x_{30} & -1.09 x_{17} & +  6.26 x_{4} & -0.22 x_{28} & -15.38 x_{12} & -0.79 x_{27} & -0.73 x_{29} & + 14.10 x_{3} & +  0.52 x_{20} & +  1.10 x_{19} & + 17.55 x_{7} & -0.66 x_{24} & -19.29 x_{14} & -0.24 x_{22}\\
\hline
z    &  32.0021079446 & -0.35 x_{25} & -0.47 x_{30} & -0.99 x_{17} & -5.63 x_{4} & +  0.21 x_{28} & -5.29 x_{12} & -0.28 x_{27} & -1.06 x_{29} & + 10.80 x_{3} & +  0.64 x_{20} & +  1.72 x_{19} & + 21.71 x_{7} & +  0.25 x_{24} & -18.55 x_{14} & -0.64 x_{22}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  48.7478176038 & +  0.61 x_{25} & -0.33 x_{30} & +  0.11 x_{17} & -14.18 x_{4} & +  0.27 x_{28} & -6.70 x_{12} & -0.07 x_{27} & -0.24 x_{29} & -9.14 x_{10} & -0.61 x_{20} & +  1.63 x_{19} & + 23.24 x_{7} & +  1.11 x_{24} & -28.15 x_{14} & -1.13 x_{22}\\
 x_{18}   &  17.8894465968 & +  1.95 x_{25} & -0.20 x_{30} & +  0.11 x_{17} & -18.74 x_{4} & +  2.30 x_{28} & + 14.59 x_{12} & -0.30 x_{27} & +  1.61 x_{29} & -31.17 x_{10} & -1.18 x_{20} & -3.22 x_{19} & -19.57 x_{7} & -1.30 x_{24} & + 23.64 x_{14} & +  0.77 x_{22}\\
 x_{2}   &  1.299967847 & -0.02 x_{25} & +  0.03 x_{30} & -0.04 x_{17} & +  0.37 x_{4} & +  0.03 x_{28} & +  0.48 x_{12} & -0.02 x_{27} & +  0.00 x_{29} & -0.31 x_{10} & +  0.02 x_{20} & -0.09 x_{19} & -1.34 x_{7} & -0.04 x_{24} & +  0.82 x_{14} & +  0.07 x_{22}\\
 x_{15}   &  1.63191641137 & +  0.00 x_{25} & +  0.06 x_{30} & +  0.05 x_{17} & +  0.03 x_{4} & -0.00 x_{28} & -0.49 x_{12} & +  0.04 x_{27} & +  0.05 x_{29} & +  0.38 x_{10} & -0.03 x_{20} & +  0.02 x_{19} & -0.18 x_{7} & +  0.03 x_{24} & +  0.43 x_{14} & -0.02 x_{22}\\
 x_{3}   &  0.0647501307307 & +  0.02 x_{25} & +  0.03 x_{30} & +  0.06 x_{17} & -0.25 x_{4} & +  0.00 x_{28} & +  0.50 x_{12} & +  0.02 x_{27} & +  0.10 x_{29} & -0.74 x_{10} & -0.07 x_{20} & -0.17 x_{19} & -1.71 x_{7} & -0.04 x_{24} & +  1.61 x_{14} & +  0.03 x_{22}\\
 x_{23}   &  49.9408575953 & -0.47 x_{25} & +  1.91 x_{30} & +  1.75 x_{17} & -14.57 x_{4} & -0.65 x_{28} & +  8.01 x_{12} & +  1.75 x_{27} & +  2.28 x_{29} & -9.26 x_{10} & -1.62 x_{20} & -3.85 x_{19} & -39.30 x_{7} & -0.67 x_{24} & + 35.21 x_{14} & -0.42 x_{22}\\
 x_{6}   &  1.84672031203 & +  0.04 x_{25} & -0.01 x_{30} & -0.01 x_{17} & -0.87 x_{4} & +  0.08 x_{28} & +  0.47 x_{12} & +  0.02 x_{27} & +  0.06 x_{29} & -0.87 x_{10} & -0.02 x_{20} & -0.13 x_{19} & -1.60 x_{7} & -0.09 x_{24} & +  0.87 x_{14} & +  0.04 x_{22}\\
 x_{9}   &  2.35947793935 & -0.05 x_{25} & -0.04 x_{30} & -0.08 x_{17} & +  0.49 x_{4} & -0.04 x_{28} & -0.56 x_{12} & -0.05 x_{27} & -0.03 x_{29} & +  0.01 x_{10} & +  0.03 x_{20} & +  0.06 x_{19} & +  0.89 x_{7} & -0.04 x_{24} & -0.70 x_{14} & -0.00 x_{22}\\
 x_{21}   &  58.046391605 & -0.85 x_{25} & +  0.46 x_{30} & -0.73 x_{17} & +  8.28 x_{4} & -0.60 x_{28} & + 11.96 x_{12} & +  0.40 x_{27} & +  0.86 x_{29} & -13.67 x_{10} & +  0.06 x_{20} & -1.91 x_{19} & -16.96 x_{7} & -0.66 x_{24} & +  2.58 x_{14} & +  0.16 x_{22}\\
 x_{1}   &  1.39216878445 & -0.06 x_{25} & +  0.07 x_{30} & +  0.03 x_{17} & -0.11 x_{4} & -0.06 x_{28} & +  0.52 x_{12} & +  0.06 x_{27} & +  0.02 x_{29} & -0.10 x_{10} & -0.01 x_{20} & -0.09 x_{19} & -1.60 x_{7} & -0.03 x_{24} & +  1.35 x_{14} & +  0.02 x_{22}\\
 x_{26}   &  55.5704750298 & +  0.25 x_{25} & +  0.23 x_{30} & +  0.31 x_{17} & -0.42 x_{4} & +  0.27 x_{28} & -10.12 x_{12} & +  0.50 x_{27} & +  0.71 x_{29} & -3.06 x_{10} & -0.63 x_{20} & -0.56 x_{19} & -15.67 x_{7} & +  0.37 x_{24} & +  0.82 x_{14} & +  0.51 x_{22}\\
 x_{13}   &  4.5382727035 & +  0.02 x_{25} & +  0.06 x_{30} & +  0.04 x_{17} & -0.90 x_{4} & +  0.04 x_{28} & +  1.06 x_{12} & +  0.09 x_{27} & +  0.11 x_{29} & -1.39 x_{10} & -0.09 x_{20} & -0.23 x_{19} & -2.45 x_{7} & -0.03 x_{24} & +  1.39 x_{14} & +  0.02 x_{22}\\
 x_{5}   &  2.93005018536 & +  0.02 x_{25} & -0.00 x_{30} & -0.01 x_{17} & -0.91 x_{4} & +  0.07 x_{28} & +  0.26 x_{12} & -0.02 x_{27} & +  0.04 x_{29} & -1.06 x_{10} & -0.04 x_{20} & -0.09 x_{19} & -0.30 x_{7} & -0.07 x_{24} & +  0.35 x_{14} & -0.00 x_{22}\\
 x_{8}   &  1.27923597105 & +  0.08 x_{25} & -0.01 x_{30} & -0.02 x_{17} & -0.91 x_{4} & +  0.04 x_{28} & -0.33 x_{12} & -0.01 x_{27} & -0.01 x_{29} & -0.39 x_{10} & -0.04 x_{20} & -0.01 x_{19} & +  0.63 x_{7} & +  0.02 x_{24} & -0.21 x_{14} & +  0.01 x_{22}\\
 x_{11}   &  2.95646940399 & -0.01 x_{25} & +  0.05 x_{30} & -0.02 x_{17} & +  0.01 x_{4} & -0.01 x_{28} & +  0.20 x_{12} & +  0.01 x_{27} & +  0.05 x_{29} & -0.52 x_{10} & -0.00 x_{20} & -0.10 x_{19} & -0.92 x_{7} & -0.02 x_{24} & +  0.79 x_{14} & -0.01 x_{22}\\
 x_{31}   &  58.5825217464 & -0.40 x_{25} & -0.41 x_{30} & -0.26 x_{17} & +  2.76 x_{4} & -0.18 x_{28} & -8.37 x_{12} & -0.46 x_{27} & +  0.69 x_{29} & -10.38 x_{10} & -0.40 x_{20} & -1.24 x_{19} & -6.55 x_{7} & -1.27 x_{24} & +  3.38 x_{14} & +  0.21 x_{22}\\
\hline
z    &  32.7013348989 & -0.15 x_{25} & -0.16 x_{30} & -0.35 x_{17} & -8.31 x_{4} & +  0.25 x_{28} & +  0.07 x_{12} & -0.03 x_{27} & +  0.03 x_{29} & -7.95 x_{10} & -0.06 x_{20} & -0.07 x_{19} & +  3.25 x_{7} & -0.22 x_{24} & -1.18 x_{14} & -0.30 x_{22}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  49.6280554337 & +  0.87 x_{25} & +  0.07 x_{30} & +  0.91 x_{17} & -17.55 x_{4} & +  0.31 x_{28} & +  0.06 x_{12} & +  0.24 x_{27} & +  1.13 x_{29} & -19.15 x_{10} & -1.49 x_{20} & -0.62 x_{19} & -13.59 x_{3} & +  0.52 x_{24} & -6.28 x_{14} & -0.69 x_{22}\\
 x_{18}   &  17.1479708004 & +  1.73 x_{25} & -0.53 x_{30} & -0.56 x_{17} & -15.90 x_{4} & +  2.27 x_{28} & +  8.90 x_{12} & -0.57 x_{27} & +  0.46 x_{29} & -22.74 x_{10} & -0.43 x_{20} & -1.32 x_{19} & + 11.45 x_{3} & -0.81 x_{24} & +  5.22 x_{14} & +  0.40 x_{22}\\
 x_{2}   &  1.24921607562 & -0.04 x_{25} & +  0.00 x_{30} & -0.08 x_{17} & +  0.56 x_{4} & +  0.02 x_{28} & +  0.09 x_{12} & -0.04 x_{27} & -0.07 x_{29} & +  0.27 x_{10} & +  0.07 x_{20} & +  0.04 x_{19} & +  0.78 x_{3} & -0.00 x_{24} & -0.44 x_{14} & +  0.05 x_{22}\\
 x_{15}   &  1.62528076524 & +  0.00 x_{25} & +  0.06 x_{30} & +  0.04 x_{17} & +  0.06 x_{4} & -0.00 x_{28} & -0.54 x_{12} & +  0.04 x_{27} & +  0.03 x_{29} & +  0.45 x_{10} & -0.02 x_{20} & +  0.04 x_{19} & +  0.10 x_{3} & +  0.03 x_{24} & +  0.27 x_{14} & -0.02 x_{22}\\
 x_{7}   &  0.037880540162 & +  0.01 x_{25} & +  0.02 x_{30} & +  0.03 x_{17} & -0.15 x_{4} & +  0.00 x_{28} & +  0.29 x_{12} & +  0.01 x_{27} & +  0.06 x_{29} & -0.43 x_{10} & -0.04 x_{20} & -0.10 x_{19} & -0.59 x_{3} & -0.03 x_{24} & +  0.94 x_{14} & +  0.02 x_{22}\\
 x_{23}   &  48.4520438045 & -0.91 x_{25} & +  1.24 x_{30} & +  0.40 x_{17} & -8.87 x_{4} & -0.72 x_{28} & -3.42 x_{12} & +  1.21 x_{27} & -0.02 x_{29} & +  7.67 x_{10} & -0.12 x_{20} & -0.03 x_{19} & + 22.99 x_{3} & +  0.33 x_{24} & -1.77 x_{14} & -1.15 x_{22}\\
 x_{6}   &  1.78622847545 & +  0.03 x_{25} & -0.03 x_{30} & -0.07 x_{17} & -0.63 x_{4} & +  0.07 x_{28} & +  0.00 x_{12} & -0.00 x_{27} & -0.04 x_{29} & -0.18 x_{10} & +  0.04 x_{20} & +  0.02 x_{19} & +  0.93 x_{3} & -0.05 x_{24} & -0.64 x_{14} & +  0.01 x_{22}\\
 x_{9}   &  2.39320514608 & -0.04 x_{25} & -0.03 x_{30} & -0.05 x_{17} & +  0.36 x_{4} & -0.04 x_{28} & -0.30 x_{12} & -0.04 x_{27} & +  0.02 x_{29} & -0.38 x_{10} & -0.01 x_{20} & -0.02 x_{19} & -0.52 x_{3} & -0.06 x_{24} & +  0.14 x_{14} & +  0.01 x_{22}\\
 x_{21}   &  57.4039917995 & -1.04 x_{25} & +  0.17 x_{30} & -1.31 x_{17} & + 10.74 x_{4} & -0.63 x_{28} & +  7.03 x_{12} & +  0.17 x_{27} & -0.13 x_{29} & -6.36 x_{10} & +  0.71 x_{20} & -0.26 x_{19} & +  9.92 x_{3} & -0.23 x_{24} & -13.38 x_{14} & -0.15 x_{22}\\
 x_{1}   &  1.33144017735 & -0.07 x_{25} & +  0.04 x_{30} & -0.02 x_{17} & +  0.12 x_{4} & -0.06 x_{28} & +  0.06 x_{12} & +  0.04 x_{27} & -0.08 x_{29} & +  0.59 x_{10} & +  0.05 x_{20} & +  0.06 x_{19} & +  0.94 x_{3} & +  0.01 x_{24} & -0.16 x_{14} & -0.01 x_{22}\\
 x_{26}   &  54.9767639046 & +  0.07 x_{25} & -0.04 x_{30} & -0.23 x_{17} & +  1.86 x_{4} & +  0.25 x_{28} & -14.68 x_{12} & +  0.29 x_{27} & -0.21 x_{29} & +  3.69 x_{10} & -0.03 x_{20} & +  0.96 x_{19} & +  9.17 x_{3} & +  0.77 x_{24} & -13.93 x_{14} & +  0.22 x_{22}\\
 x_{13}   &  4.44535574479 & -0.01 x_{25} & +  0.02 x_{30} & -0.04 x_{17} & -0.55 x_{4} & +  0.04 x_{28} & +  0.35 x_{12} & +  0.05 x_{27} & -0.03 x_{29} & -0.34 x_{10} & +  0.01 x_{20} & +  0.01 x_{19} & +  1.44 x_{3} & +  0.03 x_{24} & -0.92 x_{14} & -0.02 x_{22}\\
 x_{5}   &  2.91884612027 & +  0.02 x_{25} & -0.01 x_{30} & -0.02 x_{17} & -0.87 x_{4} & +  0.06 x_{28} & +  0.18 x_{12} & -0.02 x_{27} & +  0.02 x_{29} & -0.93 x_{10} & -0.03 x_{20} & -0.06 x_{19} & +  0.17 x_{3} & -0.06 x_{24} & +  0.08 x_{14} & -0.01 x_{22}\\
 x_{8}   &  1.30303599232 & +  0.09 x_{25} & -0.00 x_{30} & +  0.00 x_{17} & -1.00 x_{4} & +  0.04 x_{28} & -0.15 x_{12} & -0.00 x_{27} & +  0.03 x_{29} & -0.66 x_{10} & -0.06 x_{20} & -0.08 x_{19} & -0.37 x_{3} & +  0.00 x_{24} & +  0.38 x_{14} & +  0.02 x_{22}\\
 x_{11}   &  2.92161130154 & -0.02 x_{25} & +  0.03 x_{30} & -0.06 x_{17} & +  0.14 x_{4} & -0.02 x_{28} & -0.07 x_{12} & -0.01 x_{27} & -0.01 x_{29} & -0.13 x_{10} & +  0.04 x_{20} & -0.01 x_{19} & +  0.54 x_{3} & +  0.00 x_{24} & -0.07 x_{14} & -0.03 x_{22}\\
 x_{31}   &  58.3345177772 & -0.47 x_{25} & -0.53 x_{30} & -0.49 x_{17} & +  3.71 x_{4} & -0.19 x_{28} & -10.28 x_{12} & -0.55 x_{27} & +  0.30 x_{29} & -7.56 x_{10} & -0.15 x_{20} & -0.60 x_{19} & +  3.83 x_{3} & -1.11 x_{24} & -2.78 x_{14} & +  0.09 x_{22}\\
\hline
z    &  32.8244962136 & -0.11 x_{25} & -0.10 x_{30} & -0.24 x_{17} & -8.78 x_{4} & +  0.25 x_{28} & +  1.02 x_{12} & +  0.01 x_{27} & +  0.22 x_{29} & -9.35 x_{10} & -0.19 x_{20} & -0.38 x_{19} & -1.90 x_{3} & -0.30 x_{24} & +  1.88 x_{14} & -0.24 x_{22}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  49.8071766069 & +  0.87 x_{25} & +  0.07 x_{30} & +  0.91 x_{17} & -17.54 x_{4} & +  0.31 x_{28} & -0.11 x_{15} & +  0.25 x_{27} & +  1.13 x_{29} & -19.10 x_{10} & -1.50 x_{20} & -0.62 x_{19} & -13.58 x_{3} & +  0.52 x_{24} & -6.25 x_{14} & -0.70 x_{22}\\
 x_{18}   &  43.7951642904 & +  1.73 x_{25} & +  0.38 x_{30} & +  0.14 x_{17} & -14.96 x_{4} & +  2.25 x_{28} & -16.40 x_{15} & +  0.02 x_{27} & +  1.03 x_{29} & -15.32 x_{10} & -0.80 x_{20} & -0.70 x_{19} & + 13.13 x_{3} & -0.27 x_{24} & +  9.58 x_{14} & +  0.04 x_{22}\\
 x_{2}   &  1.52202421572 & -0.04 x_{25} & +  0.01 x_{30} & -0.08 x_{17} & +  0.57 x_{4} & +  0.02 x_{28} & -0.17 x_{15} & -0.04 x_{27} & -0.07 x_{29} & +  0.34 x_{10} & +  0.06 x_{20} & +  0.05 x_{19} & +  0.80 x_{3} & +  0.00 x_{24} & -0.40 x_{14} & +  0.05 x_{22}\\
 x_{12}   &  2.9947309888 & +  0.00 x_{25} & +  0.10 x_{30} & +  0.08 x_{17} & +  0.11 x_{4} & -0.00 x_{28} & -1.84 x_{15} & +  0.07 x_{27} & +  0.06 x_{29} & +  0.83 x_{10} & -0.04 x_{20} & +  0.07 x_{19} & +  0.19 x_{3} & +  0.06 x_{24} & +  0.49 x_{14} & -0.04 x_{22}\\
 x_{7}   &  0.908823996946 & +  0.01 x_{25} & +  0.05 x_{30} & +  0.06 x_{17} & -0.11 x_{4} & +  0.00 x_{28} & -0.54 x_{15} & +  0.03 x_{27} & +  0.08 x_{29} & -0.19 x_{10} & -0.05 x_{20} & -0.08 x_{19} & -0.53 x_{3} & -0.01 x_{24} & +  1.08 x_{14} & +  0.01 x_{22}\\
 x_{23}   &  38.1971219723 & -0.91 x_{25} & +  0.89 x_{30} & +  0.13 x_{17} & -9.23 x_{4} & -0.71 x_{28} & +  6.31 x_{15} & +  0.98 x_{27} & -0.24 x_{29} & +  4.82 x_{10} & +  0.02 x_{20} & -0.27 x_{19} & + 22.35 x_{3} & +  0.13 x_{24} & -3.45 x_{14} & -1.01 x_{22}\\
 x_{6}   &  1.79124918986 & +  0.03 x_{25} & -0.03 x_{30} & -0.07 x_{17} & -0.63 x_{4} & +  0.07 x_{28} & -0.00 x_{15} & -0.00 x_{27} & -0.04 x_{29} & -0.18 x_{10} & +  0.04 x_{20} & +  0.02 x_{19} & +  0.93 x_{3} & -0.05 x_{24} & -0.63 x_{14} & +  0.01 x_{22}\\
 x_{9}   &  1.50373240273 & -0.04 x_{25} & -0.06 x_{30} & -0.07 x_{17} & +  0.33 x_{4} & -0.04 x_{28} & +  0.55 x_{15} & -0.06 x_{27} & +  0.00 x_{29} & -0.62 x_{10} & +  0.01 x_{20} & -0.04 x_{19} & -0.58 x_{3} & -0.08 x_{24} & -0.01 x_{14} & +  0.02 x_{22}\\
 x_{21}   &  78.4571767764 & -1.04 x_{25} & +  0.88 x_{30} & -0.76 x_{17} & + 11.49 x_{4} & -0.64 x_{28} & -12.95 x_{15} & +  0.64 x_{27} & +  0.32 x_{29} & -0.50 x_{10} & +  0.41 x_{20} & +  0.23 x_{19} & + 11.25 x_{3} & +  0.19 x_{24} & -9.93 x_{14} & -0.44 x_{22}\\
 x_{1}   &  1.49621756321 & -0.07 x_{25} & +  0.05 x_{30} & -0.02 x_{17} & +  0.13 x_{4} & -0.06 x_{28} & -0.10 x_{15} & +  0.04 x_{27} & -0.07 x_{29} & +  0.64 x_{10} & +  0.04 x_{20} & +  0.07 x_{19} & +  0.95 x_{3} & +  0.01 x_{24} & -0.13 x_{14} & -0.01 x_{22}\\
 x_{26}   &  11.0060145428 & +  0.07 x_{25} & -1.54 x_{30} & -1.39 x_{17} & +  0.30 x_{4} & +  0.27 x_{28} & + 27.05 x_{15} & -0.68 x_{27} & -1.15 x_{29} & -8.55 x_{10} & +  0.59 x_{20} & -0.06 x_{19} & +  6.40 x_{3} & -0.11 x_{24} & -21.12 x_{14} & +  0.82 x_{22}\\
 x_{13}   &  5.48298921117 & -0.01 x_{25} & +  0.05 x_{30} & -0.02 x_{17} & -0.51 x_{4} & +  0.04 x_{28} & -0.64 x_{15} & +  0.08 x_{27} & -0.01 x_{29} & -0.05 x_{10} & -0.01 x_{20} & +  0.04 x_{19} & +  1.50 x_{3} & +  0.05 x_{24} & -0.75 x_{14} & -0.04 x_{22}\\
 x_{5}   &  3.44516504671 & +  0.02 x_{25} & +  0.01 x_{30} & -0.00 x_{17} & -0.85 x_{4} & +  0.06 x_{28} & -0.32 x_{15} & -0.01 x_{27} & +  0.03 x_{29} & -0.79 x_{10} & -0.04 x_{20} & -0.05 x_{19} & +  0.21 x_{3} & -0.05 x_{24} & +  0.16 x_{14} & -0.01 x_{22}\\
 x_{8}   &  0.857306706267 & +  0.09 x_{25} & -0.02 x_{30} & -0.01 x_{17} & -1.02 x_{4} & +  0.04 x_{28} & +  0.27 x_{15} & -0.01 x_{27} & +  0.02 x_{29} & -0.78 x_{10} & -0.06 x_{20} & -0.09 x_{19} & -0.40 x_{3} & -0.01 x_{24} & +  0.30 x_{14} & +  0.02 x_{22}\\
 x_{11}   &  2.71020177951 & -0.02 x_{25} & +  0.03 x_{30} & -0.06 x_{17} & +  0.13 x_{4} & -0.02 x_{28} & +  0.13 x_{15} & -0.01 x_{27} & -0.01 x_{29} & -0.19 x_{10} & +  0.04 x_{20} & -0.02 x_{19} & +  0.53 x_{3} & -0.00 x_{24} & -0.11 x_{14} & -0.02 x_{22}\\
 x_{31}   &  27.5602772881 & -0.48 x_{25} & -1.57 x_{30} & -1.30 x_{17} & +  2.62 x_{4} & -0.17 x_{28} & + 18.93 x_{15} & -1.23 x_{27} & -0.35 x_{29} & -16.13 x_{10} & +  0.28 x_{20} & -1.31 x_{19} & +  1.89 x_{3} & -1.72 x_{24} & -7.81 x_{14} & +  0.51 x_{22}\\
\hline
z    &  35.8799280813 & -0.11 x_{25} & +  0.00 x_{30} & -0.16 x_{17} & -8.67 x_{4} & +  0.25 x_{28} & -1.88 x_{15} & +  0.08 x_{27} & +  0.28 x_{29} & -8.50 x_{10} & -0.23 x_{20} & -0.31 x_{19} & -1.71 x_{3} & -0.24 x_{24} & +  2.38 x_{14} & -0.28 x_{22}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  46.5490025242 & +  0.85 x_{25} & +  0.53 x_{30} & +  1.32 x_{17} & -17.63 x_{4} & +  0.23 x_{28} & -8.12 x_{15} & +  0.45 x_{27} & +  1.47 x_{29} & -16.57 x_{10} & -1.67 x_{20} & -0.60 x_{19} & -15.48 x_{3} & +  0.56 x_{24} & +  0.30 x_{26} & -0.94 x_{22}\\
 x_{18}   &  48.7865620709 & +  1.76 x_{25} & -0.32 x_{30} & -0.49 x_{17} & -14.82 x_{4} & +  2.38 x_{28} & -4.13 x_{15} & -0.29 x_{27} & +  0.51 x_{29} & -19.20 x_{10} & -0.54 x_{20} & -0.73 x_{19} & + 16.03 x_{3} & -0.32 x_{24} & -0.45 x_{26} & +  0.41 x_{22}\\
 x_{2}   &  1.31559160012 & -0.04 x_{25} & +  0.04 x_{30} & -0.05 x_{17} & +  0.57 x_{4} & +  0.02 x_{28} & -0.68 x_{15} & -0.02 x_{27} & -0.05 x_{29} & +  0.50 x_{10} & +  0.05 x_{20} & +  0.05 x_{19} & +  0.68 x_{3} & +  0.00 x_{24} & +  0.02 x_{26} & +  0.03 x_{22}\\
 x_{12}   &  3.24999928356 & +  0.00 x_{25} & +  0.07 x_{30} & +  0.05 x_{17} & +  0.11 x_{4} & +  0.00 x_{28} & -1.22 x_{15} & +  0.05 x_{27} & +  0.04 x_{29} & +  0.64 x_{10} & -0.03 x_{20} & +  0.07 x_{19} & +  0.34 x_{3} & +  0.06 x_{24} & -0.02 x_{26} & -0.02 x_{22}\\
 x_{7}   &  1.47326908249 & +  0.01 x_{25} & -0.03 x_{30} & -0.01 x_{17} & -0.10 x_{4} & +  0.02 x_{28} & +  0.85 x_{15} & -0.00 x_{27} & +  0.02 x_{29} & -0.63 x_{10} & -0.02 x_{20} & -0.08 x_{19} & -0.20 x_{3} & -0.01 x_{24} & -0.05 x_{26} & +  0.05 x_{22}\\
 x_{23}   &  36.3992183403 & -0.92 x_{25} & +  1.15 x_{30} & +  0.36 x_{17} & -9.28 x_{4} & -0.76 x_{28} & +  1.89 x_{15} & +  1.10 x_{27} & -0.05 x_{29} & +  6.21 x_{10} & -0.07 x_{20} & -0.26 x_{19} & + 21.30 x_{3} & +  0.14 x_{24} & +  0.16 x_{26} & -1.14 x_{22}\\
 x_{6}   &  1.460656853 & +  0.02 x_{25} & +  0.01 x_{30} & -0.03 x_{17} & -0.64 x_{4} & +  0.07 x_{28} & -0.82 x_{15} & +  0.02 x_{27} & -0.00 x_{29} & +  0.08 x_{10} & +  0.03 x_{20} & +  0.02 x_{19} & +  0.74 x_{3} & -0.04 x_{24} & +  0.03 x_{26} & -0.01 x_{22}\\
 x_{9}   &  1.49946516971 & -0.04 x_{25} & -0.06 x_{30} & -0.07 x_{17} & +  0.33 x_{4} & -0.04 x_{28} & +  0.54 x_{15} & -0.06 x_{27} & +  0.00 x_{29} & -0.62 x_{10} & +  0.01 x_{20} & -0.04 x_{19} & -0.58 x_{3} & -0.08 x_{24} & +  0.00 x_{26} & +  0.02 x_{22}\\
 x_{21}   &  73.2814045706 & -1.07 x_{25} & +  1.61 x_{30} & -0.11 x_{17} & + 11.35 x_{4} & -0.76 x_{28} & -25.68 x_{15} & +  0.96 x_{27} & +  0.86 x_{29} & +  3.52 x_{10} & +  0.14 x_{20} & +  0.25 x_{19} & +  8.24 x_{3} & +  0.25 x_{24} & +  0.47 x_{26} & -0.82 x_{22}\\
 x_{1}   &  1.42855769996 & -0.07 x_{25} & +  0.06 x_{30} & -0.01 x_{17} & +  0.13 x_{4} & -0.06 x_{28} & -0.27 x_{15} & +  0.05 x_{27} & -0.07 x_{29} & +  0.69 x_{10} & +  0.04 x_{20} & +  0.07 x_{19} & +  0.91 x_{3} & +  0.01 x_{24} & +  0.01 x_{26} & -0.01 x_{22}\\
 x_{14}   &  0.521013176373 & +  0.00 x_{25} & -0.07 x_{30} & -0.07 x_{17} & +  0.01 x_{4} & +  0.01 x_{28} & +  1.28 x_{15} & -0.03 x_{27} & -0.05 x_{29} & -0.40 x_{10} & +  0.03 x_{20} & -0.00 x_{19} & +  0.30 x_{3} & -0.01 x_{24} & -0.05 x_{26} & +  0.04 x_{22}\\
 x_{13}   &  5.09455997973 & -0.01 x_{25} & +  0.11 x_{30} & +  0.03 x_{17} & -0.52 x_{4} & +  0.03 x_{28} & -1.59 x_{15} & +  0.10 x_{27} & +  0.03 x_{29} & +  0.26 x_{10} & -0.03 x_{20} & +  0.04 x_{19} & +  1.27 x_{3} & +  0.05 x_{24} & +  0.04 x_{26} & -0.06 x_{22}\\
 x_{5}   &  3.52995221018 & +  0.02 x_{25} & -0.00 x_{30} & -0.01 x_{17} & -0.85 x_{4} & +  0.07 x_{28} & -0.12 x_{15} & -0.02 x_{27} & +  0.02 x_{29} & -0.85 x_{10} & -0.03 x_{20} & -0.05 x_{19} & +  0.26 x_{3} & -0.05 x_{24} & -0.01 x_{26} & -0.01 x_{22}\\
 x_{8}   &  1.01572829265 & +  0.09 x_{25} & -0.04 x_{30} & -0.03 x_{17} & -1.02 x_{4} & +  0.05 x_{28} & +  0.66 x_{15} & -0.02 x_{27} & +  0.00 x_{29} & -0.90 x_{10} & -0.05 x_{20} & -0.09 x_{19} & -0.30 x_{3} & -0.01 x_{24} & -0.01 x_{26} & +  0.04 x_{22}\\
 x_{11}   &  2.65486118317 & -0.02 x_{25} & +  0.04 x_{30} & -0.05 x_{17} & +  0.13 x_{4} & -0.02 x_{28} & -0.01 x_{15} & -0.01 x_{27} & -0.01 x_{29} & -0.14 x_{10} & +  0.04 x_{20} & -0.02 x_{19} & +  0.49 x_{3} & -0.00 x_{24} & +  0.01 x_{26} & -0.03 x_{22}\\
 x_{31}   &  23.4897767176 & -0.50 x_{25} & -1.00 x_{30} & -0.79 x_{17} & +  2.51 x_{4} & -0.27 x_{28} & +  8.93 x_{15} & -0.98 x_{27} & +  0.07 x_{29} & -12.97 x_{10} & +  0.07 x_{20} & -1.29 x_{19} & -0.48 x_{3} & -1.68 x_{24} & +  0.37 x_{26} & +  0.20 x_{22}\\
\hline
z    &  37.1205199915 & -0.10 x_{25} & -0.17 x_{30} & -0.32 x_{17} & -8.64 x_{4} & +  0.28 x_{28} & +  1.17 x_{15} & +  0.00 x_{27} & +  0.15 x_{29} & -9.47 x_{10} & -0.16 x_{20} & -0.32 x_{19} & -0.99 x_{3} & -0.25 x_{24} & -0.11 x_{26} & -0.19 x_{22}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  32.0105778096 & +  0.62 x_{25} & +  0.39 x_{30} & +  1.59 x_{17} & -11.24 x_{4} & -0.42 x_{28} & +  9.95 x_{6} & +  0.28 x_{27} & +  1.50 x_{29} & -17.36 x_{10} & -1.93 x_{20} & -0.84 x_{19} & -22.87 x_{3} & +  0.98 x_{24} & -0.00 x_{26} & -0.81 x_{22}\\
 x_{18}   &  41.398626942 & +  1.64 x_{25} & -0.39 x_{30} & -0.35 x_{17} & -11.57 x_{4} & +  2.04 x_{28} & +  5.06 x_{6} & -0.37 x_{27} & +  0.52 x_{29} & -19.60 x_{10} & -0.67 x_{20} & -0.85 x_{19} & + 12.28 x_{3} & -0.11 x_{24} & -0.61 x_{26} & +  0.47 x_{22}\\
 x_{2}   &  0.106403940912 & -0.06 x_{25} & +  0.03 x_{30} & -0.03 x_{17} & +  1.10 x_{4} & -0.04 x_{28} & +  0.83 x_{6} & -0.04 x_{27} & -0.04 x_{29} & +  0.44 x_{10} & +  0.03 x_{20} & +  0.03 x_{19} & +  0.07 x_{3} & +  0.04 x_{24} & -0.01 x_{26} & +  0.04 x_{22}\\
 x_{12}   &  1.07420568486 & -0.03 x_{25} & +  0.05 x_{30} & +  0.09 x_{17} & +  1.07 x_{4} & -0.09 x_{28} & +  1.49 x_{6} & +  0.03 x_{27} & +  0.04 x_{29} & +  0.52 x_{10} & -0.07 x_{20} & +  0.03 x_{19} & -0.77 x_{3} & +  0.12 x_{24} & -0.07 x_{26} & -0.00 x_{22}\\
 x_{7}   &  2.99817216947 & +  0.04 x_{25} & -0.02 x_{30} & -0.04 x_{17} & -0.77 x_{4} & +  0.08 x_{28} & -1.04 x_{6} & +  0.02 x_{27} & +  0.02 x_{29} & -0.54 x_{10} & +  0.01 x_{20} & -0.06 x_{19} & +  0.57 x_{3} & -0.06 x_{24} & -0.02 x_{26} & +  0.04 x_{22}\\
 x_{23}   &  39.7837398366 & -0.87 x_{25} & +  1.18 x_{30} & +  0.30 x_{17} & -10.77 x_{4} & -0.60 x_{28} & -2.32 x_{6} & +  1.13 x_{27} & -0.06 x_{29} & +  6.40 x_{10} & -0.01 x_{20} & -0.21 x_{19} & + 23.02 x_{3} & +  0.05 x_{24} & +  0.23 x_{26} & -1.17 x_{22}\\
 x_{15}   &  1.79061512918 & +  0.03 x_{25} & +  0.02 x_{30} & -0.03 x_{17} & -0.79 x_{4} & +  0.08 x_{28} & -1.23 x_{6} & +  0.02 x_{27} & -0.00 x_{29} & +  0.10 x_{10} & +  0.03 x_{20} & +  0.03 x_{19} & +  0.91 x_{3} & -0.05 x_{24} & +  0.04 x_{26} & -0.02 x_{22}\\
 x_{9}   &  2.46063846763 & -0.03 x_{25} & -0.05 x_{30} & -0.09 x_{17} & -0.10 x_{4} & +  0.01 x_{28} & -0.66 x_{6} & -0.05 x_{27} & +  0.00 x_{29} & -0.57 x_{10} & +  0.02 x_{20} & -0.03 x_{19} & -0.09 x_{3} & -0.11 x_{24} & +  0.02 x_{26} & +  0.02 x_{22}\\
 x_{21}   &  27.3050246468 & -1.82 x_{25} & +  1.17 x_{30} & +  0.75 x_{17} & + 31.56 x_{4} & -2.82 x_{28} & + 31.48 x_{6} & +  0.42 x_{27} & +  0.93 x_{29} & +  1.01 x_{10} & -0.68 x_{20} & -0.49 x_{19} & -15.13 x_{3} & +  1.57 x_{24} & -0.48 x_{26} & -0.41 x_{22}\\
 x_{1}   &  0.949208421082 & -0.08 x_{25} & +  0.05 x_{30} & -0.00 x_{17} & +  0.34 x_{4} & -0.09 x_{28} & +  0.33 x_{6} & +  0.04 x_{27} & -0.07 x_{29} & +  0.67 x_{10} & +  0.03 x_{20} & +  0.06 x_{19} & +  0.67 x_{3} & +  0.03 x_{24} & -0.00 x_{26} & -0.01 x_{22}\\
 x_{14}   &  2.81428927865 & +  0.04 x_{25} & -0.05 x_{30} & -0.11 x_{17} & -0.99 x_{4} & +  0.12 x_{28} & -1.57 x_{6} & -0.01 x_{27} & -0.06 x_{29} & -0.28 x_{10} & +  0.07 x_{20} & +  0.03 x_{19} & +  1.47 x_{3} & -0.07 x_{24} & -0.00 x_{26} & +  0.02 x_{22}\\
 x_{13}   &  2.24167298587 & -0.06 x_{25} & +  0.08 x_{30} & +  0.09 x_{17} & +  0.73 x_{4} & -0.10 x_{28} & +  1.95 x_{6} & +  0.07 x_{27} & +  0.03 x_{29} & +  0.10 x_{10} & -0.08 x_{20} & -0.01 x_{19} & -0.18 x_{3} & +  0.13 x_{24} & -0.02 x_{26} & -0.04 x_{22}\\
 x_{5}   &  3.3232892809 & +  0.01 x_{25} & -0.00 x_{30} & -0.01 x_{17} & -0.75 x_{4} & +  0.06 x_{28} & +  0.14 x_{6} & -0.02 x_{27} & +  0.02 x_{29} & -0.87 x_{10} & -0.04 x_{20} & -0.05 x_{19} & +  0.15 x_{3} & -0.05 x_{24} & -0.01 x_{26} & -0.01 x_{22}\\
 x_{8}   &  2.20410386798 & +  0.11 x_{25} & -0.03 x_{30} & -0.05 x_{17} & -1.54 x_{4} & +  0.10 x_{28} & -0.81 x_{6} & -0.01 x_{27} & +  0.00 x_{29} & -0.84 x_{10} & -0.03 x_{20} & -0.07 x_{19} & +  0.30 x_{3} & -0.04 x_{24} & +  0.01 x_{26} & +  0.03 x_{22}\\
 x_{11}   &  2.64419116417 & -0.02 x_{25} & +  0.04 x_{30} & -0.05 x_{17} & +  0.14 x_{4} & -0.02 x_{28} & +  0.01 x_{6} & -0.01 x_{27} & -0.01 x_{29} & -0.14 x_{10} & +  0.03 x_{20} & -0.02 x_{19} & +  0.49 x_{3} & -0.00 x_{24} & +  0.00 x_{26} & -0.03 x_{22}\\
 x_{31}   &  39.4779832742 & -0.24 x_{25} & -0.85 x_{30} & -1.09 x_{17} & -4.52 x_{4} & +  0.45 x_{28} & -10.95 x_{6} & -0.79 x_{27} & +  0.05 x_{29} & -12.09 x_{10} & +  0.35 x_{20} & -1.04 x_{19} & +  7.65 x_{3} & -2.14 x_{24} & +  0.70 x_{26} & +  0.06 x_{22}\\
\hline
z    &  39.2148217393 & -0.07 x_{25} & -0.15 x_{30} & -0.36 x_{17} & -9.56 x_{4} & +  0.37 x_{28} & -1.43 x_{6} & +  0.03 x_{27} & +  0.15 x_{29} & -9.35 x_{10} & -0.13 x_{20} & -0.29 x_{19} & +  0.08 x_{3} & -0.31 x_{24} & -0.07 x_{26} & -0.21 x_{22}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  0.0566561771859 & +  1.62 x_{25} & -0.97 x_{30} & -1.01 x_{17} & -43.06 x_{4} & +  2.34 x_{28} & -34.36 x_{6} & -0.47 x_{27} & +  0.28 x_{29} & -32.73 x_{10} & +  0.06 x_{20} & -1.82 x_{19} & + 29.75 x_{12} & -2.59 x_{24} & +  2.02 x_{26} & -0.73 x_{22}\\
 x_{18}   &  58.5555599293 & +  1.10 x_{25} & +  0.34 x_{30} & +  1.05 x_{17} & +  5.51 x_{4} & +  0.56 x_{28} & + 28.85 x_{6} & +  0.03 x_{27} & +  1.18 x_{29} & -11.34 x_{10} & -1.74 x_{20} & -0.32 x_{19} & -15.97 x_{12} & +  1.81 x_{24} & -1.69 x_{26} & +  0.43 x_{22}\\
 x_{2}   &  0.199244016619 & -0.06 x_{25} & +  0.03 x_{30} & -0.02 x_{17} & +  1.19 x_{4} & -0.04 x_{28} & +  0.96 x_{6} & -0.03 x_{27} & -0.04 x_{29} & +  0.48 x_{10} & +  0.03 x_{20} & +  0.03 x_{19} & -0.09 x_{12} & +  0.05 x_{24} & -0.01 x_{26} & +  0.04 x_{22}\\
 x_{3}   &  1.39742955949 & -0.04 x_{25} & +  0.06 x_{30} & +  0.11 x_{17} & +  1.39 x_{4} & -0.12 x_{28} & +  1.94 x_{6} & +  0.03 x_{27} & +  0.05 x_{29} & +  0.67 x_{10} & -0.09 x_{20} & +  0.04 x_{19} & -1.30 x_{12} & +  0.16 x_{24} & -0.09 x_{26} & -0.00 x_{22}\\
 x_{7}   &  3.79891621685 & +  0.01 x_{25} & +  0.02 x_{30} & +  0.02 x_{17} & +  0.03 x_{4} & +  0.01 x_{28} & +  0.07 x_{6} & +  0.03 x_{27} & +  0.05 x_{29} & -0.16 x_{10} & -0.04 x_{20} & -0.03 x_{19} & -0.75 x_{12} & +  0.03 x_{24} & -0.07 x_{26} & +  0.03 x_{22}\\
 x_{23}   &  71.9552383412 & -1.88 x_{25} & +  2.55 x_{30} & +  2.91 x_{17} & + 21.27 x_{4} & -3.38 x_{28} & + 42.30 x_{6} & +  1.89 x_{27} & +  1.17 x_{29} & + 21.88 x_{10} & -2.02 x_{20} & +  0.79 x_{19} & -29.95 x_{12} & +  3.64 x_{24} & -1.80 x_{26} & -1.25 x_{22}\\
 x_{15}   &  3.06244213449 & -0.01 x_{25} & +  0.07 x_{30} & +  0.07 x_{17} & +  0.48 x_{4} & -0.03 x_{28} & +  0.54 x_{6} & +  0.05 x_{27} & +  0.05 x_{29} & +  0.71 x_{10} & -0.05 x_{20} & +  0.07 x_{19} & -1.18 x_{12} & +  0.09 x_{24} & -0.04 x_{26} & -0.02 x_{22}\\
 x_{9}   &  2.33359748599 & -0.02 x_{25} & -0.06 x_{30} & -0.10 x_{17} & -0.22 x_{4} & +  0.02 x_{28} & -0.83 x_{6} & -0.05 x_{27} & -0.00 x_{29} & -0.63 x_{10} & +  0.03 x_{20} & -0.03 x_{19} & +  0.12 x_{12} & -0.12 x_{24} & +  0.03 x_{26} & +  0.02 x_{22}\\
 x_{21}   &  6.16477060059 & -1.15 x_{25} & +  0.27 x_{30} & -0.97 x_{17} & + 10.51 x_{4} & -1.00 x_{28} & +  2.16 x_{6} & -0.07 x_{27} & +  0.13 x_{29} & -9.16 x_{10} & +  0.64 x_{20} & -1.14 x_{19} & + 19.68 x_{12} & -0.79 x_{24} & +  0.86 x_{26} & -0.36 x_{22}\\
 x_{1}   &  1.87894323467 & -0.11 x_{25} & +  0.09 x_{30} & +  0.07 x_{17} & +  1.26 x_{4} & -0.17 x_{28} & +  1.62 x_{6} & +  0.06 x_{27} & -0.03 x_{29} & +  1.11 x_{10} & -0.03 x_{20} & +  0.09 x_{19} & -0.87 x_{12} & +  0.13 x_{24} & -0.06 x_{26} & -0.01 x_{22}\\
 x_{14}   &  4.86630470742 & -0.02 x_{25} & +  0.04 x_{30} & +  0.06 x_{17} & +  1.05 x_{4} & -0.06 x_{28} & +  1.28 x_{6} & +  0.04 x_{27} & +  0.02 x_{29} & +  0.71 x_{10} & -0.06 x_{20} & +  0.10 x_{19} & -1.91 x_{12} & +  0.16 x_{24} & -0.13 x_{26} & +  0.01 x_{22}\\
 x_{13}   &  1.9966164391 & -0.05 x_{25} & +  0.07 x_{30} & +  0.07 x_{17} & +  0.49 x_{4} & -0.08 x_{28} & +  1.61 x_{6} & +  0.06 x_{27} & +  0.02 x_{29} & -0.02 x_{10} & -0.06 x_{20} & -0.02 x_{19} & +  0.23 x_{12} & +  0.11 x_{24} & -0.01 x_{26} & -0.04 x_{22}\\
 x_{5}   &  3.53354604175 & +  0.01 x_{25} & +  0.01 x_{30} & +  0.01 x_{17} & -0.55 x_{4} & +  0.04 x_{28} & +  0.43 x_{6} & -0.01 x_{27} & +  0.03 x_{29} & -0.76 x_{10} & -0.05 x_{20} & -0.05 x_{19} & -0.20 x_{12} & -0.02 x_{24} & -0.03 x_{26} & -0.01 x_{22}\\
 x_{8}   &  2.62392014875 & +  0.09 x_{25} & -0.01 x_{30} & -0.02 x_{17} & -1.12 x_{4} & +  0.06 x_{28} & -0.23 x_{6} & +  0.00 x_{27} & +  0.02 x_{29} & -0.64 x_{10} & -0.05 x_{20} & -0.05 x_{19} & -0.39 x_{12} & +  0.00 x_{24} & -0.02 x_{26} & +  0.03 x_{22}\\
 x_{11}   &  3.32534075497 & -0.04 x_{25} & +  0.06 x_{30} & +  0.00 x_{17} & +  0.81 x_{4} & -0.08 x_{28} & +  0.95 x_{6} & +  0.01 x_{27} & +  0.02 x_{29} & +  0.19 x_{10} & -0.01 x_{20} & +  0.00 x_{19} & -0.63 x_{12} & +  0.07 x_{24} & -0.04 x_{26} & -0.03 x_{22}\\
 x_{31}   &  50.1687246497 & -0.58 x_{25} & -0.40 x_{30} & -0.22 x_{17} & +  6.12 x_{4} & -0.48 x_{28} & +  3.88 x_{6} & -0.54 x_{27} & +  0.45 x_{29} & -6.95 x_{10} & -0.32 x_{20} & -0.71 x_{19} & -9.95 x_{12} & -0.95 x_{24} & +  0.02 x_{26} & +  0.04 x_{22}\\
\hline
z    &  39.3211183805 & -0.07 x_{25} & -0.15 x_{30} & -0.35 x_{17} & -9.45 x_{4} & +  0.36 x_{28} & -1.29 x_{6} & +  0.03 x_{27} & +  0.15 x_{29} & -9.30 x_{10} & -0.13 x_{20} & -0.28 x_{19} & -0.10 x_{12} & -0.30 x_{24} & -0.08 x_{26} & -0.21 x_{22}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  0.121175093385 & +  3.46 x_{25} & -2.08 x_{30} & -2.15 x_{17} & -92.09 x_{4} & +  5.00 x_{28} & -73.48 x_{6} & -2.14 x_{16} & +  0.60 x_{29} & -70.01 x_{10} & +  0.13 x_{20} & -3.90 x_{19} & + 63.62 x_{12} & -5.55 x_{24} & +  4.32 x_{26} & -1.57 x_{22}\\
 x_{18}   &  58.5592463784 & +  1.21 x_{25} & +  0.28 x_{30} & +  0.98 x_{17} & +  2.71 x_{4} & +  0.71 x_{28} & + 26.61 x_{6} & -0.07 x_{16} & +  1.19 x_{29} & -13.47 x_{10} & -1.73 x_{20} & -0.44 x_{19} & -14.04 x_{12} & +  1.64 x_{24} & -1.56 x_{26} & +  0.39 x_{22}\\
 x_{2}   &  0.195048162468 & -0.18 x_{25} & +  0.11 x_{30} & +  0.05 x_{17} & +  4.38 x_{4} & -0.22 x_{28} & +  3.50 x_{6} & +  0.07 x_{16} & -0.06 x_{29} & +  2.91 x_{10} & +  0.02 x_{20} & +  0.17 x_{19} & -2.29 x_{12} & +  0.24 x_{24} & -0.16 x_{26} & +  0.09 x_{22}\\
 x_{3}   &  1.40139367819 & +  0.07 x_{25} & -0.01 x_{30} & +  0.04 x_{17} & -1.62 x_{4} & +  0.04 x_{28} & -0.47 x_{6} & -0.07 x_{16} & +  0.07 x_{29} & -1.62 x_{10} & -0.08 x_{20} & -0.08 x_{19} & +  0.78 x_{12} & -0.03 x_{24} & +  0.05 x_{26} & -0.05 x_{22}\\
 x_{7}   &  3.80307487765 & +  0.13 x_{25} & -0.05 x_{30} & -0.05 x_{17} & -3.13 x_{4} & +  0.19 x_{28} & -2.46 x_{6} & -0.07 x_{16} & +  0.07 x_{29} & -2.56 x_{10} & -0.04 x_{20} & -0.16 x_{19} & +  1.44 x_{12} & -0.16 x_{24} & +  0.08 x_{26} & -0.02 x_{22}\\
 x_{23}   &  72.1840113747 & +  4.66 x_{25} & -1.38 x_{30} & -1.15 x_{17} & -152.60 x_{4} & +  6.05 x_{28} & -96.44 x_{6} & -4.04 x_{16} & +  2.29 x_{29} & -110.30 x_{10} & -1.76 x_{20} & -6.57 x_{19} & + 90.17 x_{12} & -6.83 x_{24} & +  6.35 x_{26} & -4.20 x_{22}\\
 x_{15}   &  3.06857236955 & +  0.16 x_{25} & -0.03 x_{30} & -0.04 x_{17} & -4.18 x_{4} & +  0.22 x_{28} & -3.18 x_{6} & -0.11 x_{16} & +  0.08 x_{29} & -2.83 x_{10} & -0.04 x_{20} & -0.13 x_{19} & +  2.03 x_{12} & -0.19 x_{24} & +  0.17 x_{26} & -0.10 x_{22}\\
 x_{9}   &  2.32711887972 & -0.21 x_{25} & +  0.06 x_{30} & +  0.02 x_{17} & +  4.70 x_{4} & -0.25 x_{28} & +  3.09 x_{6} & +  0.11 x_{16} & -0.03 x_{29} & +  3.11 x_{10} & +  0.02 x_{20} & +  0.18 x_{19} & -3.28 x_{12} & +  0.18 x_{24} & -0.20 x_{26} & +  0.10 x_{22}\\
 x_{21}   &  6.15609455868 & -1.40 x_{25} & +  0.42 x_{30} & -0.81 x_{17} & + 17.10 x_{4} & -1.36 x_{28} & +  7.42 x_{6} & +  0.15 x_{16} & +  0.09 x_{29} & -4.14 x_{10} & +  0.63 x_{20} & -0.86 x_{19} & + 15.12 x_{12} & -0.39 x_{24} & +  0.55 x_{26} & -0.25 x_{22}\\
 x_{1}   &  1.88680349957 & +  0.11 x_{25} & -0.04 x_{30} & -0.07 x_{17} & -4.71 x_{4} & +  0.16 x_{28} & -3.15 x_{6} & -0.14 x_{16} & +  0.01 x_{29} & -3.43 x_{10} & -0.02 x_{20} & -0.17 x_{19} & +  3.26 x_{12} & -0.23 x_{24} & +  0.22 x_{26} & -0.11 x_{22}\\
 x_{14}   &  4.87143181078 & +  0.12 x_{25} & -0.05 x_{30} & -0.03 x_{17} & -2.85 x_{4} & +  0.15 x_{28} & -1.83 x_{6} & -0.09 x_{16} & +  0.05 x_{29} & -2.25 x_{10} & -0.05 x_{20} & -0.07 x_{19} & +  0.78 x_{12} & -0.08 x_{24} & +  0.05 x_{26} & -0.05 x_{22}\\
 x_{13}   &  2.00399957226 & +  0.16 x_{25} & -0.06 x_{30} & -0.06 x_{17} & -5.12 x_{4} & +  0.23 x_{28} & -2.86 x_{6} & -0.13 x_{16} & +  0.06 x_{29} & -4.28 x_{10} & -0.05 x_{20} & -0.25 x_{19} & +  4.10 x_{12} & -0.23 x_{24} & +  0.26 x_{26} & -0.13 x_{22}\\
 x_{5}   &  3.53197409932 & -0.04 x_{25} & +  0.03 x_{30} & +  0.04 x_{17} & +  0.65 x_{4} & -0.03 x_{28} & +  1.39 x_{6} & +  0.03 x_{16} & +  0.02 x_{29} & +  0.14 x_{10} & -0.05 x_{20} & +  0.00 x_{19} & -1.02 x_{12} & +  0.05 x_{24} & -0.08 x_{26} & +  0.01 x_{22}\\
 x_{8}   &  2.62435405584 & +  0.11 x_{25} & -0.02 x_{30} & -0.02 x_{17} & -1.45 x_{4} & +  0.08 x_{28} & -0.49 x_{6} & -0.01 x_{16} & +  0.02 x_{29} & -0.89 x_{10} & -0.05 x_{20} & -0.07 x_{19} & -0.16 x_{12} & -0.02 x_{24} & -0.00 x_{26} & +  0.02 x_{22}\\
 x_{11}   &  3.32632428641 & -0.01 x_{25} & +  0.05 x_{30} & -0.02 x_{17} & +  0.07 x_{4} & -0.04 x_{28} & +  0.36 x_{6} & -0.02 x_{16} & +  0.02 x_{29} & -0.38 x_{10} & -0.01 x_{20} & -0.03 x_{19} & -0.12 x_{12} & +  0.03 x_{24} & -0.00 x_{26} & -0.04 x_{22}\\
 x_{31}   &  50.102869995 & -2.46 x_{25} & +  0.73 x_{30} & +  0.95 x_{17} & + 56.17 x_{4} & -3.19 x_{28} & + 43.81 x_{6} & +  1.16 x_{16} & +  0.13 x_{29} & + 31.10 x_{10} & -0.39 x_{20} & +  1.41 x_{19} & -44.53 x_{12} & +  2.07 x_{24} & -2.32 x_{26} & +  0.89 x_{22}\\
\hline
z    &  39.3247820417 & +  0.03 x_{25} & -0.21 x_{30} & -0.41 x_{17} & -12.24 x_{4} & +  0.52 x_{28} & -3.51 x_{6} & -0.06 x_{16} & +  0.17 x_{29} & -11.42 x_{10} & -0.13 x_{20} & -0.40 x_{19} & +  1.82 x_{12} & -0.47 x_{24} & +  0.05 x_{26} & -0.25 x_{22}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  5.54146376164 & -1.52 x_{25} & +  0.88 x_{30} & -0.67 x_{17} & + 29.65 x_{4} & -1.01 x_{28} & + 23.81 x_{6} & -0.08 x_{16} & -1.12 x_{29} & + 10.78 x_{10} & +  0.74 x_{20} & +  0.75 x_{19} & -27.79 x_{2} & +  1.14 x_{24} & -0.17 x_{26} & +  1.06 x_{22}\\
 x_{18}   &  57.3634155703 & +  2.31 x_{25} & -0.37 x_{30} & +  0.65 x_{17} & -24.15 x_{4} & +  2.04 x_{28} & +  5.15 x_{6} & -0.52 x_{16} & +  1.57 x_{29} & -31.30 x_{10} & -1.87 x_{20} & -1.46 x_{19} & +  6.13 x_{2} & +  0.16 x_{24} & -0.57 x_{26} & -0.19 x_{22}\\
 x_{12}   &  0.0851960778175 & -0.08 x_{25} & +  0.05 x_{30} & +  0.02 x_{17} & +  1.91 x_{4} & -0.09 x_{28} & +  1.53 x_{6} & +  0.03 x_{16} & -0.03 x_{29} & +  1.27 x_{10} & +  0.01 x_{20} & +  0.07 x_{19} & -0.44 x_{2} & +  0.11 x_{24} & -0.07 x_{26} & +  0.04 x_{22}\\
 x_{3}   &  1.46788164216 & +  0.01 x_{25} & +  0.03 x_{30} & +  0.06 x_{17} & -0.13 x_{4} & -0.03 x_{28} & +  0.73 x_{6} & -0.04 x_{16} & +  0.05 x_{29} & -0.63 x_{10} & -0.08 x_{20} & -0.03 x_{19} & -0.34 x_{2} & +  0.06 x_{24} & -0.00 x_{26} & -0.02 x_{22}\\
 x_{7}   &  3.92558849942 & +  0.02 x_{25} & +  0.01 x_{30} & -0.02 x_{17} & -0.38 x_{4} & +  0.05 x_{28} & -0.26 x_{6} & -0.03 x_{16} & +  0.03 x_{29} & -0.74 x_{10} & -0.02 x_{20} & -0.06 x_{19} & -0.63 x_{2} & -0.01 x_{24} & -0.02 x_{26} & +  0.04 x_{22}\\
 x_{23}   &  79.8657221904 & -2.40 x_{25} & +  2.81 x_{30} & +  0.95 x_{17} & + 19.94 x_{4} & -2.47 x_{28} & + 41.45 x_{6} & -1.12 x_{16} & -0.14 x_{29} & +  4.20 x_{10} & -0.91 x_{20} & +  0.01 x_{19} & -39.38 x_{2} & +  2.64 x_{24} & -0.01 x_{26} & -0.48 x_{22}\\
 x_{15}   &  3.24191461951 & +  0.01 x_{25} & +  0.06 x_{30} & +  0.01 x_{17} & -0.29 x_{4} & +  0.03 x_{28} & -0.07 x_{6} & -0.04 x_{16} & +  0.02 x_{29} & -0.25 x_{10} & -0.02 x_{20} & +  0.02 x_{19} & -0.89 x_{2} & +  0.02 x_{24} & +  0.03 x_{26} & -0.01 x_{22}\\
 x_{9}   &  2.04739976293 & +  0.05 x_{25} & -0.10 x_{30} & -0.06 x_{17} & -1.58 x_{4} & +  0.06 x_{28} & -1.93 x_{6} & +  0.01 x_{16} & +  0.05 x_{29} & -1.05 x_{10} & -0.01 x_{20} & -0.06 x_{19} & +  1.43 x_{2} & -0.17 x_{24} & +  0.03 x_{26} & -0.04 x_{22}\\
 x_{21}   &  7.44465591252 & -2.59 x_{25} & +  1.12 x_{30} & -0.46 x_{17} & + 46.04 x_{4} & -2.78 x_{28} & + 30.55 x_{6} & +  0.64 x_{16} & -0.32 x_{29} & + 15.06 x_{10} & +  0.77 x_{20} & +  0.25 x_{19} & -6.61 x_{2} & +  1.20 x_{24} & -0.51 x_{26} & +  0.37 x_{22}\\
 x_{1}   &  2.1646633877 & -0.14 x_{25} & +  0.11 x_{30} & +  0.01 x_{17} & +  1.53 x_{4} & -0.15 x_{28} & +  1.84 x_{6} & -0.03 x_{16} & -0.08 x_{29} & +  0.71 x_{10} & +  0.01 x_{20} & +  0.07 x_{19} & -1.42 x_{2} & +  0.12 x_{24} & -0.01 x_{26} & +  0.02 x_{22}\\
 x_{14}   &  4.93802558685 & +  0.06 x_{25} & -0.02 x_{30} & -0.01 x_{17} & -1.35 x_{4} & +  0.08 x_{28} & -0.64 x_{6} & -0.07 x_{16} & +  0.02 x_{29} & -1.26 x_{10} & -0.05 x_{20} & -0.01 x_{19} & -0.34 x_{2} & +  0.01 x_{24} & -0.00 x_{26} & -0.02 x_{22}\\
 x_{13}   &  2.35369046378 & -0.16 x_{25} & +  0.14 x_{30} & +  0.03 x_{17} & +  2.73 x_{4} & -0.16 x_{28} & +  3.41 x_{6} & +  0.00 x_{16} & -0.05 x_{29} & +  0.93 x_{10} & -0.02 x_{20} & +  0.05 x_{19} & -1.79 x_{2} & +  0.20 x_{24} & -0.03 x_{26} & +  0.04 x_{22}\\
 x_{5}   &  3.44498384475 & +  0.04 x_{25} & -0.01 x_{30} & +  0.01 x_{17} & -1.30 x_{4} & +  0.07 x_{28} & -0.18 x_{6} & -0.01 x_{16} & +  0.05 x_{29} & -1.15 x_{10} & -0.06 x_{20} & -0.07 x_{19} & +  0.45 x_{2} & -0.06 x_{24} & -0.01 x_{26} & -0.03 x_{22}\\
 x_{8}   &  2.6104672224 & +  0.12 x_{25} & -0.02 x_{30} & -0.03 x_{17} & -1.76 x_{4} & +  0.10 x_{28} & -0.74 x_{6} & -0.01 x_{16} & +  0.02 x_{29} & -1.10 x_{10} & -0.05 x_{20} & -0.08 x_{19} & +  0.07 x_{2} & -0.03 x_{24} & +  0.01 x_{26} & +  0.01 x_{22}\\
 x_{11}   &  3.3162961792 & -0.00 x_{25} & +  0.04 x_{30} & -0.02 x_{17} & -0.16 x_{4} & -0.02 x_{28} & +  0.18 x_{6} & -0.02 x_{16} & +  0.03 x_{29} & -0.53 x_{10} & -0.01 x_{20} & -0.04 x_{19} & +  0.05 x_{2} & +  0.02 x_{24} & +  0.01 x_{26} & -0.05 x_{22}\\
 x_{31}   &  46.3092315031 & +  1.03 x_{25} & -1.34 x_{30} & -0.08 x_{17} & -29.04 x_{4} & +  1.01 x_{28} & -24.28 x_{6} & -0.28 x_{16} & +  1.33 x_{29} & -25.45 x_{10} & -0.81 x_{20} & -1.84 x_{19} & + 19.45 x_{2} & -2.61 x_{24} & +  0.82 x_{26} & -0.95 x_{22}\\
\hline
z    &  39.4802309718 & -0.11 x_{25} & -0.12 x_{30} & -0.37 x_{17} & -8.74 x_{4} & +  0.34 x_{28} & -0.72 x_{6} & -0.01 x_{16} & +  0.12 x_{29} & -9.10 x_{10} & -0.11 x_{20} & -0.27 x_{19} & -0.80 x_{2} & -0.28 x_{24} & -0.07 x_{26} & -0.18 x_{22}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  4.62761691678 & -0.68 x_{25} & +  0.38 x_{30} & -0.92 x_{17} & +  9.13 x_{4} & + 10.73 x_{12} & +  7.41 x_{6} & -0.43 x_{16} & -0.83 x_{29} & -2.84 x_{10} & +  0.63 x_{20} & -0.03 x_{19} & -23.10 x_{2} & +  0.01 x_{24} & +  0.59 x_{26} & +  0.62 x_{22}\\
 x_{18}   &  59.2032232131 & +  0.62 x_{25} & +  0.63 x_{30} & +  1.16 x_{17} & + 17.17 x_{4} & -21.59 x_{12} & + 38.17 x_{6} & +  0.18 x_{16} & +  0.99 x_{29} & -3.87 x_{10} & -1.66 x_{20} & +  0.12 x_{19} & -3.30 x_{2} & +  2.43 x_{24} & -2.09 x_{26} & +  0.70 x_{22}\\
 x_{28}   &  0.901816292043 & -0.83 x_{25} & +  0.49 x_{30} & +  0.25 x_{17} & + 20.26 x_{4} & -10.59 x_{12} & + 16.19 x_{6} & +  0.34 x_{16} & -0.28 x_{29} & + 13.44 x_{10} & +  0.10 x_{20} & +  0.77 x_{19} & -4.62 x_{2} & +  1.11 x_{24} & -0.75 x_{26} & +  0.44 x_{22}\\
 x_{3}   &  1.43999663289 & +  0.03 x_{25} & +  0.01 x_{30} & +  0.05 x_{17} & -0.75 x_{4} & +  0.33 x_{12} & +  0.23 x_{6} & -0.06 x_{16} & +  0.06 x_{29} & -1.04 x_{10} & -0.08 x_{20} & -0.05 x_{19} & -0.20 x_{2} & +  0.02 x_{24} & +  0.02 x_{26} & -0.04 x_{22}\\
 x_{7}   &  3.97063037423 & -0.02 x_{25} & +  0.04 x_{30} & -0.01 x_{17} & +  0.63 x_{4} & -0.53 x_{12} & +  0.55 x_{6} & -0.01 x_{16} & +  0.01 x_{29} & -0.06 x_{10} & -0.02 x_{20} & -0.02 x_{19} & -0.86 x_{2} & +  0.05 x_{24} & -0.06 x_{26} & +  0.06 x_{22}\\
 x_{23}   &  77.6421677517 & -0.36 x_{25} & +  1.60 x_{30} & +  0.34 x_{17} & -30.01 x_{4} & + 26.10 x_{12} & +  1.53 x_{6} & -1.97 x_{16} & +  0.57 x_{29} & -28.94 x_{10} & -1.16 x_{20} & -1.89 x_{19} & -27.98 x_{2} & -0.10 x_{24} & +  1.83 x_{26} & -1.56 x_{22}\\
 x_{15}   &  3.26995558867 & -0.02 x_{25} & +  0.08 x_{30} & +  0.02 x_{17} & +  0.34 x_{4} & -0.33 x_{12} & +  0.43 x_{6} & -0.03 x_{16} & +  0.01 x_{29} & +  0.17 x_{10} & -0.02 x_{20} & +  0.04 x_{19} & -1.03 x_{2} & +  0.06 x_{24} & +  0.01 x_{26} & -0.00 x_{22}\\
 x_{9}   &  2.10198017754 & -0.00 x_{25} & -0.07 x_{30} & -0.05 x_{17} & -0.36 x_{4} & -0.64 x_{12} & -0.95 x_{6} & +  0.03 x_{16} & +  0.04 x_{29} & -0.24 x_{10} & -0.00 x_{20} & -0.02 x_{19} & +  1.15 x_{2} & -0.10 x_{24} & -0.02 x_{26} & -0.01 x_{22}\\
 x_{21}   &  4.93400365363 & -0.28 x_{25} & -0.25 x_{30} & -1.15 x_{17} & -10.35 x_{4} & + 29.47 x_{12} & -14.51 x_{6} & -0.31 x_{16} & +  0.47 x_{29} & -22.36 x_{10} & +  0.50 x_{20} & -1.91 x_{19} & +  6.27 x_{2} & -1.90 x_{24} & +  1.56 x_{26} & -0.84 x_{22}\\
 x_{1}   &  2.02888155775 & -0.02 x_{25} & +  0.04 x_{30} & -0.03 x_{17} & -1.52 x_{4} & +  1.59 x_{12} & -0.60 x_{6} & -0.08 x_{16} & -0.04 x_{29} & -1.31 x_{10} & -0.00 x_{20} & -0.04 x_{19} & -0.73 x_{2} & -0.05 x_{24} & +  0.10 x_{26} & -0.04 x_{22}\\
 x_{14}   &  5.00645690201 & -0.00 x_{25} & +  0.02 x_{30} & +  0.00 x_{17} & +  0.19 x_{4} & -0.80 x_{12} & +  0.59 x_{6} & -0.04 x_{16} & +  0.00 x_{29} & -0.24 x_{10} & -0.04 x_{20} & +  0.05 x_{19} & -0.69 x_{2} & +  0.09 x_{24} & -0.06 x_{26} & +  0.01 x_{22}\\
 x_{13}   &  2.20890330238 & -0.03 x_{25} & +  0.06 x_{30} & -0.01 x_{17} & -0.52 x_{4} & +  1.70 x_{12} & +  0.81 x_{6} & -0.05 x_{16} & -0.00 x_{29} & -1.23 x_{10} & -0.03 x_{20} & -0.08 x_{19} & -1.05 x_{2} & +  0.02 x_{24} & +  0.09 x_{26} & -0.03 x_{22}\\
 x_{5}   &  3.50856722507 & -0.02 x_{25} & +  0.02 x_{30} & +  0.03 x_{17} & +  0.12 x_{4} & -0.75 x_{12} & +  0.97 x_{6} & +  0.02 x_{16} & +  0.03 x_{29} & -0.20 x_{10} & -0.05 x_{20} & -0.02 x_{19} & +  0.12 x_{2} & +  0.02 x_{24} & -0.06 x_{26} & +  0.00 x_{22}\\
 x_{8}   &  2.697006051 & +  0.04 x_{25} & +  0.02 x_{30} & -0.00 x_{17} & +  0.18 x_{4} & -1.02 x_{12} & +  0.81 x_{6} & +  0.02 x_{16} & -0.00 x_{29} & +  0.19 x_{10} & -0.04 x_{20} & -0.01 x_{19} & -0.37 x_{2} & +  0.07 x_{24} & -0.06 x_{26} & +  0.05 x_{22}\\
 x_{11}   &  3.29440940888 & +  0.02 x_{25} & +  0.03 x_{30} & -0.02 x_{17} & -0.65 x_{4} & +  0.26 x_{12} & -0.22 x_{6} & -0.03 x_{16} & +  0.03 x_{29} & -0.86 x_{10} & -0.01 x_{20} & -0.05 x_{19} & +  0.16 x_{2} & -0.01 x_{24} & +  0.02 x_{26} & -0.06 x_{22}\\
 x_{31}   &  47.2226400724 & +  0.19 x_{25} & -0.84 x_{30} & +  0.17 x_{17} & -8.52 x_{4} & -10.72 x_{12} & -7.88 x_{6} & +  0.07 x_{16} & +  1.04 x_{29} & -11.83 x_{10} & -0.71 x_{20} & -1.06 x_{19} & + 14.77 x_{2} & -1.48 x_{24} & +  0.06 x_{26} & -0.51 x_{22}\\
\hline
z    &  39.7897058931 & -0.39 x_{25} & +  0.05 x_{30} & -0.29 x_{17} & -1.79 x_{4} & -3.63 x_{12} & +  4.84 x_{6} & +  0.11 x_{16} & +  0.02 x_{29} & -4.49 x_{10} & -0.08 x_{20} & -0.00 x_{19} & -2.38 x_{2} & +  0.10 x_{24} & -0.33 x_{26} & -0.03 x_{22}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  7.14533999149 & -0.82 x_{25} & +  0.25 x_{30} & -1.51 x_{17} & +  3.85 x_{4} & + 25.76 x_{12} & -0.51 x_{21} & -0.59 x_{16} & -0.59 x_{29} & -14.25 x_{10} & +  0.89 x_{20} & -1.01 x_{19} & -19.91 x_{2} & -0.96 x_{24} & +  1.38 x_{26} & +  0.19 x_{22}\\
 x_{18}   &  72.1807370346 & -0.12 x_{25} & -0.02 x_{30} & -1.86 x_{17} & -10.04 x_{4} & + 55.92 x_{12} & -2.63 x_{21} & -0.64 x_{16} & +  2.23 x_{29} & -62.69 x_{10} & -0.36 x_{20} & -4.90 x_{19} & + 13.18 x_{2} & -2.56 x_{24} & +  2.02 x_{26} & -1.52 x_{22}\\
 x_{28}   &  6.40488141614 & -1.14 x_{25} & +  0.22 x_{30} & -1.03 x_{17} & +  8.71 x_{4} & + 22.28 x_{12} & -1.12 x_{21} & -0.00 x_{16} & +  0.24 x_{29} & -11.50 x_{10} & +  0.65 x_{20} & -1.35 x_{19} & +  2.36 x_{2} & -1.01 x_{24} & +  1.00 x_{26} & -0.50 x_{22}\\
 x_{3}   &  1.51710677641 & +  0.03 x_{25} & +  0.01 x_{30} & +  0.04 x_{17} & -0.92 x_{4} & +  0.79 x_{12} & -0.02 x_{21} & -0.06 x_{16} & +  0.07 x_{29} & -1.39 x_{10} & -0.07 x_{20} & -0.08 x_{19} & -0.10 x_{2} & -0.01 x_{24} & +  0.05 x_{26} & -0.05 x_{22}\\
 x_{7}   &  4.15831287274 & -0.03 x_{25} & +  0.03 x_{30} & -0.05 x_{17} & +  0.24 x_{4} & +  0.59 x_{12} & -0.04 x_{21} & -0.02 x_{16} & +  0.03 x_{29} & -0.91 x_{10} & -0.00 x_{20} & -0.09 x_{19} & -0.62 x_{2} & -0.02 x_{24} & -0.00 x_{26} & +  0.03 x_{22}\\
 x_{23}   &  78.1639059604 & -0.39 x_{25} & +  1.57 x_{30} & +  0.22 x_{17} & -31.10 x_{4} & + 29.22 x_{12} & -0.11 x_{21} & -2.00 x_{16} & +  0.62 x_{29} & -31.31 x_{10} & -1.11 x_{20} & -2.09 x_{19} & -27.32 x_{2} & -0.30 x_{24} & +  1.99 x_{26} & -1.65 x_{22}\\
 x_{15}   &  3.41784006995 & -0.03 x_{25} & +  0.07 x_{30} & -0.02 x_{17} & +  0.03 x_{4} & +  0.55 x_{12} & -0.03 x_{21} & -0.04 x_{16} & +  0.03 x_{29} & -0.50 x_{10} & -0.00 x_{20} & -0.01 x_{19} & -0.84 x_{2} & +  0.00 x_{24} & +  0.05 x_{26} & -0.03 x_{22}\\
 x_{9}   &  1.78016686023 & +  0.02 x_{25} & -0.05 x_{30} & +  0.03 x_{17} & +  0.32 x_{4} & -2.56 x_{12} & +  0.07 x_{21} & +  0.05 x_{16} & +  0.01 x_{29} & +  1.22 x_{10} & -0.03 x_{20} & +  0.11 x_{19} & +  0.75 x_{2} & +  0.02 x_{24} & -0.12 x_{26} & +  0.05 x_{22}\\
 x_{6}   &  0.339966187774 & -0.02 x_{25} & -0.02 x_{30} & -0.08 x_{17} & -0.71 x_{4} & +  2.03 x_{12} & -0.07 x_{21} & -0.02 x_{16} & +  0.03 x_{29} & -1.54 x_{10} & +  0.03 x_{20} & -0.13 x_{19} & +  0.43 x_{2} & -0.13 x_{24} & +  0.11 x_{26} & -0.06 x_{22}\\
 x_{1}   &  1.82526933682 & -0.01 x_{25} & +  0.05 x_{30} & +  0.02 x_{17} & -1.09 x_{4} & +  0.38 x_{12} & +  0.04 x_{21} & -0.07 x_{16} & -0.06 x_{29} & -0.39 x_{10} & -0.02 x_{20} & +  0.03 x_{19} & -0.99 x_{2} & +  0.03 x_{24} & +  0.04 x_{26} & -0.01 x_{22}\\
 x_{14}   &  5.20702757545 & -0.01 x_{25} & +  0.01 x_{30} & -0.04 x_{17} & -0.24 x_{4} & +  0.39 x_{12} & -0.04 x_{21} & -0.05 x_{16} & +  0.02 x_{29} & -1.15 x_{10} & -0.02 x_{20} & -0.03 x_{19} & -0.44 x_{2} & +  0.01 x_{24} & +  0.00 x_{26} & -0.02 x_{22}\\
 x_{13}   &  2.48563719339 & -0.04 x_{25} & +  0.04 x_{30} & -0.07 x_{17} & -1.10 x_{4} & +  3.35 x_{12} & -0.06 x_{21} & -0.07 x_{16} & +  0.02 x_{29} & -2.48 x_{10} & -0.00 x_{20} & -0.18 x_{19} & -0.70 x_{2} & -0.09 x_{24} & +  0.17 x_{26} & -0.08 x_{22}\\
 x_{5}   &  3.83702792259 & -0.04 x_{25} & +  0.00 x_{30} & -0.05 x_{17} & -0.57 x_{4} & +  1.22 x_{12} & -0.07 x_{21} & -0.00 x_{16} & +  0.06 x_{29} & -1.69 x_{10} & -0.02 x_{20} & -0.14 x_{19} & +  0.54 x_{2} & -0.11 x_{24} & +  0.04 x_{26} & -0.05 x_{22}\\
 x_{8}   &  2.97220998169 & +  0.02 x_{25} & +  0.01 x_{30} & -0.07 x_{17} & -0.40 x_{4} & +  0.63 x_{12} & -0.06 x_{21} & +  0.00 x_{16} & +  0.02 x_{29} & -1.05 x_{10} & -0.02 x_{20} & -0.11 x_{19} & -0.02 x_{2} & -0.03 x_{24} & +  0.03 x_{26} & +  0.01 x_{22}\\
 x_{11}   &  3.22049143222 & +  0.02 x_{25} & +  0.03 x_{30} & -0.01 x_{17} & -0.49 x_{4} & -0.18 x_{12} & +  0.01 x_{21} & -0.02 x_{16} & +  0.03 x_{29} & -0.52 x_{10} & -0.02 x_{20} & -0.03 x_{19} & +  0.07 x_{2} & +  0.02 x_{24} & -0.00 x_{26} & -0.04 x_{22}\\
 x_{31}   &  44.5422177006 & +  0.34 x_{25} & -0.70 x_{30} & +  0.79 x_{17} & -2.90 x_{4} & -26.73 x_{12} & +  0.54 x_{21} & +  0.24 x_{16} & +  0.78 x_{29} & +  0.31 x_{10} & -0.98 x_{20} & -0.02 x_{19} & + 11.36 x_{2} & -0.45 x_{24} & -0.79 x_{26} & -0.05 x_{22}\\
\hline
z    &  41.4341287707 & -0.49 x_{25} & -0.04 x_{30} & -0.67 x_{17} & -5.24 x_{4} & +  6.19 x_{12} & -0.33 x_{21} & +  0.01 x_{16} & +  0.18 x_{29} & -11.94 x_{10} & +  0.09 x_{20} & -0.64 x_{19} & -0.30 x_{2} & -0.53 x_{24} & +  0.19 x_{26} & -0.31 x_{22}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  25.0419242025 & -0.67 x_{25} & -0.26 x_{30} & -1.22 x_{17} & +  7.06 x_{4} & -10.05 x_{9} & +  0.15 x_{21} & -0.09 x_{16} & -0.52 x_{29} & -2.01 x_{10} & +  0.54 x_{20} & +  0.08 x_{19} & -12.41 x_{2} & -0.74 x_{24} & +  0.20 x_{26} & +  0.64 x_{22}\\
 x_{18}   &  111.021607019 & +  0.22 x_{25} & -1.13 x_{30} & -1.23 x_{17} & -3.07 x_{4} & -21.82 x_{9} & -1.21 x_{21} & +  0.43 x_{16} & +  2.37 x_{29} & -36.13 x_{10} & -1.10 x_{20} & -2.55 x_{19} & + 29.45 x_{2} & -2.08 x_{24} & -0.56 x_{26} & -0.54 x_{22}\\
 x_{28}   &  21.8833182866 & -1.01 x_{25} & -0.22 x_{30} & -0.78 x_{17} & + 11.49 x_{4} & -8.69 x_{9} & -0.55 x_{21} & +  0.42 x_{16} & +  0.30 x_{29} & -0.91 x_{10} & +  0.36 x_{20} & -0.42 x_{19} & +  8.85 x_{2} & -0.81 x_{24} & -0.03 x_{26} & -0.11 x_{22}\\
 x_{3}   &  2.06438190935 & +  0.03 x_{25} & -0.01 x_{30} & +  0.04 x_{17} & -0.82 x_{4} & -0.31 x_{9} & +  0.00 x_{21} & -0.05 x_{16} & +  0.07 x_{29} & -1.02 x_{10} & -0.08 x_{20} & -0.05 x_{19} & +  0.13 x_{2} & -0.00 x_{24} & +  0.01 x_{26} & -0.04 x_{22}\\
 x_{7}   &  4.56973195465 & -0.03 x_{25} & +  0.02 x_{30} & -0.04 x_{17} & +  0.31 x_{4} & -0.23 x_{9} & -0.02 x_{21} & -0.01 x_{16} & +  0.03 x_{29} & -0.63 x_{10} & -0.01 x_{20} & -0.07 x_{19} & -0.45 x_{2} & -0.02 x_{24} & -0.03 x_{26} & +  0.04 x_{22}\\
 x_{23}   &  98.4580562877 & -0.21 x_{25} & +  0.99 x_{30} & +  0.55 x_{17} & -27.46 x_{4} & -11.40 x_{9} & +  0.64 x_{21} & -1.44 x_{16} & +  0.69 x_{29} & -17.43 x_{10} & -1.49 x_{20} & -0.87 x_{19} & -18.82 x_{2} & -0.05 x_{24} & +  0.65 x_{26} & -1.13 x_{22}\\
 x_{15}   &  3.80275902683 & -0.03 x_{25} & +  0.06 x_{30} & -0.01 x_{17} & +  0.10 x_{4} & -0.22 x_{9} & -0.02 x_{21} & -0.03 x_{16} & +  0.03 x_{29} & -0.24 x_{10} & -0.01 x_{20} & +  0.01 x_{19} & -0.68 x_{2} & +  0.01 x_{24} & +  0.03 x_{26} & -0.02 x_{22}\\
 x_{12}   &  0.694638296561 & +  0.01 x_{25} & -0.02 x_{30} & +  0.01 x_{17} & +  0.12 x_{4} & -0.39 x_{9} & +  0.03 x_{21} & +  0.02 x_{16} & +  0.00 x_{29} & +  0.47 x_{10} & -0.01 x_{20} & +  0.04 x_{19} & +  0.29 x_{2} & +  0.01 x_{24} & -0.05 x_{26} & +  0.02 x_{22}\\
 x_{6}   &  1.75042998789 & -0.01 x_{25} & -0.06 x_{30} & -0.06 x_{17} & -0.46 x_{4} & -0.79 x_{9} & -0.02 x_{21} & +  0.02 x_{16} & +  0.04 x_{29} & -0.58 x_{10} & +  0.01 x_{20} & -0.05 x_{19} & +  1.02 x_{2} & -0.11 x_{24} & +  0.01 x_{26} & -0.02 x_{22}\\
 x_{1}   &  2.08760024123 & -0.00 x_{25} & +  0.04 x_{30} & +  0.03 x_{17} & -1.05 x_{4} & -0.15 x_{9} & +  0.05 x_{21} & -0.06 x_{16} & -0.06 x_{29} & -0.21 x_{10} & -0.03 x_{20} & +  0.05 x_{19} & -0.88 x_{2} & +  0.03 x_{24} & +  0.02 x_{26} & -0.00 x_{22}\\
 x_{14}   &  5.4812139489 & -0.01 x_{25} & +  0.00 x_{30} & -0.04 x_{17} & -0.19 x_{4} & -0.15 x_{9} & -0.03 x_{21} & -0.04 x_{16} & +  0.02 x_{29} & -0.96 x_{10} & -0.02 x_{20} & -0.01 x_{19} & -0.32 x_{2} & +  0.02 x_{24} & -0.01 x_{26} & -0.01 x_{22}\\
 x_{13}   &  4.81426924791 & -0.02 x_{25} & -0.02 x_{30} & -0.03 x_{17} & -0.68 x_{4} & -1.31 x_{9} & +  0.03 x_{21} & -0.01 x_{16} & +  0.03 x_{29} & -0.89 x_{10} & -0.05 x_{20} & -0.04 x_{19} & +  0.28 x_{2} & -0.06 x_{24} & +  0.02 x_{26} & -0.02 x_{22}\\
 x_{5}   &  4.6813361583 & -0.03 x_{25} & -0.02 x_{30} & -0.03 x_{17} & -0.41 x_{4} & -0.47 x_{9} & -0.04 x_{21} & +  0.02 x_{16} & +  0.07 x_{29} & -1.12 x_{10} & -0.04 x_{20} & -0.09 x_{19} & +  0.89 x_{2} & -0.10 x_{24} & -0.01 x_{26} & -0.03 x_{22}\\
 x_{8}   &  3.40839953821 & +  0.03 x_{25} & -0.00 x_{30} & -0.06 x_{17} & -0.32 x_{4} & -0.25 x_{9} & -0.04 x_{21} & +  0.01 x_{16} & +  0.02 x_{29} & -0.75 x_{10} & -0.02 x_{20} & -0.09 x_{19} & +  0.16 x_{2} & -0.03 x_{24} & -0.00 x_{26} & +  0.02 x_{22}\\
 x_{11}   &  3.09226965014 & +  0.02 x_{25} & +  0.04 x_{30} & -0.01 x_{17} & -0.52 x_{4} & +  0.07 x_{9} & +  0.01 x_{21} & -0.03 x_{16} & +  0.03 x_{29} & -0.61 x_{10} & -0.01 x_{20} & -0.03 x_{19} & +  0.02 x_{2} & +  0.02 x_{24} & +  0.01 x_{26} & -0.05 x_{22}\\
 x_{31}   &  25.9741943037 & +  0.18 x_{25} & -0.17 x_{30} & +  0.49 x_{17} & -6.23 x_{4} & + 10.43 x_{9} & -0.14 x_{21} & -0.27 x_{16} & +  0.71 x_{29} & -12.38 x_{10} & -0.62 x_{20} & -1.15 x_{19} & +  3.59 x_{2} & -0.68 x_{24} & +  0.44 x_{26} & -0.52 x_{22}\\
\hline
z    &  45.7332938505 & -0.45 x_{25} & -0.16 x_{30} & -0.60 x_{17} & -4.47 x_{4} & -2.42 x_{9} & -0.18 x_{21} & +  0.13 x_{16} & +  0.20 x_{29} & -9.00 x_{10} & +  0.01 x_{20} & -0.38 x_{19} & +  1.51 x_{2} & -0.48 x_{24} & -0.09 x_{26} & -0.20 x_{22}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.01768609919 & -0.05 x_{25} & -0.02 x_{30} & -0.10 x_{17} & +  0.57 x_{4} & -0.81 x_{9} & +  0.01 x_{21} & -0.01 x_{16} & -0.04 x_{29} & -0.16 x_{10} & +  0.04 x_{20} & +  0.01 x_{19} & -0.08 x_{27} & -0.06 x_{24} & +  0.02 x_{26} & +  0.05 x_{22}\\
 x_{18}   &  170.435242431 & -1.36 x_{25} & -1.74 x_{30} & -4.11 x_{17} & + 13.67 x_{4} & -45.67 x_{9} & -0.86 x_{21} & +  0.21 x_{16} & +  1.14 x_{29} & -40.90 x_{10} & +  0.19 x_{20} & -2.37 x_{19} & -2.37 x_{27} & -3.83 x_{24} & -0.09 x_{26} & +  0.99 x_{22}\\
 x_{28}   &  39.7351708436 & -1.48 x_{25} & -0.41 x_{30} & -1.65 x_{17} & + 16.52 x_{4} & -15.86 x_{9} & -0.44 x_{21} & +  0.36 x_{16} & -0.07 x_{29} & -2.35 x_{10} & +  0.74 x_{20} & -0.36 x_{19} & -0.71 x_{27} & -1.34 x_{24} & +  0.11 x_{26} & +  0.35 x_{22}\\
 x_{3}   &  2.32512204439 & +  0.03 x_{25} & -0.01 x_{30} & +  0.03 x_{17} & -0.74 x_{4} & -0.41 x_{9} & +  0.01 x_{21} & -0.05 x_{16} & +  0.06 x_{29} & -1.04 x_{10} & -0.08 x_{20} & -0.05 x_{19} & -0.01 x_{27} & -0.01 x_{24} & +  0.01 x_{26} & -0.03 x_{22}\\
 x_{7}   &  3.66501514172 & -0.00 x_{25} & +  0.02 x_{30} & +  0.00 x_{17} & +  0.06 x_{4} & +  0.13 x_{9} & -0.03 x_{21} & -0.01 x_{16} & +  0.05 x_{29} & -0.56 x_{10} & -0.03 x_{20} & -0.07 x_{19} & +  0.04 x_{27} & +  0.01 x_{24} & -0.04 x_{26} & +  0.02 x_{22}\\
 x_{23}   &  60.4830882012 & +  0.80 x_{25} & +  1.39 x_{30} & +  2.39 x_{17} & -38.16 x_{4} & +  3.85 x_{9} & +  0.42 x_{21} & -1.30 x_{16} & +  1.48 x_{29} & -14.38 x_{10} & -2.32 x_{20} & -0.98 x_{19} & +  1.52 x_{27} & +  1.07 x_{24} & +  0.35 x_{26} & -2.10 x_{22}\\
 x_{15}   &  2.42374337863 & +  0.01 x_{25} & +  0.07 x_{30} & +  0.05 x_{17} & -0.29 x_{4} & +  0.34 x_{9} & -0.02 x_{21} & -0.03 x_{16} & +  0.06 x_{29} & -0.13 x_{10} & -0.04 x_{20} & +  0.01 x_{19} & +  0.06 x_{27} & +  0.05 x_{24} & +  0.02 x_{26} & -0.05 x_{22}\\
 x_{12}   &  1.28167125182 & -0.01 x_{25} & -0.03 x_{30} & -0.02 x_{17} & +  0.29 x_{4} & -0.63 x_{9} & +  0.03 x_{21} & +  0.02 x_{16} & -0.01 x_{29} & +  0.43 x_{10} & -0.00 x_{20} & +  0.04 x_{19} & -0.02 x_{27} & -0.01 x_{24} & -0.04 x_{26} & +  0.03 x_{22}\\
 x_{6}   &  3.81346792435 & -0.06 x_{25} & -0.08 x_{30} & -0.16 x_{17} & +  0.12 x_{4} & -1.62 x_{9} & -0.01 x_{21} & +  0.01 x_{16} & -0.01 x_{29} & -0.74 x_{10} & +  0.05 x_{20} & -0.04 x_{19} & -0.08 x_{27} & -0.17 x_{24} & +  0.03 x_{26} & +  0.03 x_{22}\\
 x_{1}   &  0.317861291825 & +  0.04 x_{25} & +  0.06 x_{30} & +  0.11 x_{17} & -1.54 x_{4} & +  0.56 x_{9} & +  0.04 x_{21} & -0.06 x_{16} & -0.02 x_{29} & -0.07 x_{10} & -0.07 x_{20} & +  0.04 x_{19} & +  0.07 x_{27} & +  0.08 x_{24} & +  0.00 x_{26} & -0.05 x_{22}\\
 x_{14}   &  4.8300577347 & +  0.01 x_{25} & +  0.01 x_{30} & -0.01 x_{17} & -0.37 x_{4} & +  0.11 x_{9} & -0.03 x_{21} & -0.04 x_{16} & +  0.04 x_{29} & -0.91 x_{10} & -0.04 x_{20} & -0.01 x_{19} & +  0.03 x_{27} & +  0.04 x_{24} & -0.02 x_{26} & -0.03 x_{22}\\
 x_{13}   &  5.37159105565 & -0.04 x_{25} & -0.03 x_{30} & -0.06 x_{17} & -0.53 x_{4} & -1.53 x_{9} & +  0.03 x_{21} & -0.01 x_{16} & +  0.02 x_{29} & -0.94 x_{10} & -0.04 x_{20} & -0.04 x_{19} & -0.02 x_{27} & -0.07 x_{24} & +  0.02 x_{26} & -0.01 x_{22}\\
 x_{5}   &  6.47857491324 & -0.08 x_{25} & -0.04 x_{30} & -0.12 x_{17} & +  0.09 x_{4} & -1.20 x_{9} & -0.03 x_{21} & +  0.01 x_{16} & +  0.03 x_{29} & -1.26 x_{10} & +  0.00 x_{20} & -0.09 x_{19} & -0.07 x_{27} & -0.15 x_{24} & +  0.00 x_{26} & +  0.01 x_{22}\\
 x_{8}   &  3.73059920356 & +  0.02 x_{25} & -0.01 x_{30} & -0.08 x_{17} & -0.23 x_{4} & -0.37 x_{9} & -0.04 x_{21} & +  0.01 x_{16} & +  0.02 x_{29} & -0.78 x_{10} & -0.02 x_{20} & -0.08 x_{19} & -0.01 x_{27} & -0.04 x_{24} & -0.00 x_{26} & +  0.03 x_{22}\\
 x_{11}   &  3.12466181271 & +  0.02 x_{25} & +  0.04 x_{30} & -0.01 x_{17} & -0.51 x_{4} & +  0.06 x_{9} & +  0.01 x_{21} & -0.03 x_{16} & +  0.03 x_{29} & -0.61 x_{10} & -0.01 x_{20} & -0.03 x_{19} & -0.00 x_{27} & +  0.01 x_{24} & +  0.01 x_{26} & -0.05 x_{22}\\
 x_{31}   &  33.2093845666 & -0.01 x_{25} & -0.25 x_{30} & +  0.14 x_{17} & -4.19 x_{4} & +  7.53 x_{9} & -0.10 x_{21} & -0.30 x_{16} & +  0.56 x_{29} & -12.96 x_{10} & -0.46 x_{20} & -1.12 x_{19} & -0.29 x_{27} & -0.90 x_{24} & +  0.50 x_{26} & -0.34 x_{22}\\
\hline
z    &  48.7704194515 & -0.53 x_{25} & -0.19 x_{30} & -0.75 x_{17} & -3.62 x_{4} & -3.63 x_{9} & -0.16 x_{21} & +  0.12 x_{16} & +  0.13 x_{29} & -9.24 x_{10} & +  0.07 x_{20} & -0.37 x_{19} & -0.12 x_{27} & -0.57 x_{24} & -0.07 x_{26} & -0.12 x_{22}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1.97706358759 & -0.06 x_{25} & -0.03 x_{30} & -0.11 x_{17} & +  0.77 x_{4} & -0.88 x_{9} & +  0.01 x_{21} & +  0.13 x_{1} & -0.04 x_{29} & -0.15 x_{10} & +  0.05 x_{20} & +  0.00 x_{19} & -0.09 x_{27} & -0.07 x_{24} & +  0.02 x_{26} & +  0.06 x_{22}\\
 x_{18}   &  171.609487198 & -1.20 x_{25} & -1.53 x_{30} & -3.70 x_{17} & +  7.96 x_{4} & -43.59 x_{9} & -0.71 x_{21} & -3.69 x_{1} & +  1.07 x_{29} & -41.15 x_{10} & -0.06 x_{20} & -2.20 x_{19} & -2.11 x_{27} & -3.53 x_{24} & -0.08 x_{26} & +  0.81 x_{22}\\
 x_{28}   &  41.6859859633 & -1.21 x_{25} & -0.06 x_{30} & -0.97 x_{17} & +  7.04 x_{4} & -12.41 x_{9} & -0.20 x_{21} & -6.14 x_{1} & -0.19 x_{29} & -2.75 x_{10} & +  0.34 x_{20} & -0.09 x_{19} & -0.28 x_{27} & -0.84 x_{24} & +  0.13 x_{26} & +  0.05 x_{22}\\
 x_{3}   &  2.07375078217 & -0.01 x_{25} & -0.05 x_{30} & -0.06 x_{17} & +  0.48 x_{4} & -0.86 x_{9} & -0.03 x_{21} & +  0.79 x_{1} & +  0.08 x_{29} & -0.99 x_{10} & -0.02 x_{20} & -0.08 x_{19} & -0.07 x_{27} & -0.07 x_{24} & +  0.01 x_{26} & +  0.01 x_{22}\\
 x_{7}   &  3.62724400653 & -0.01 x_{25} & +  0.02 x_{30} & -0.01 x_{17} & +  0.24 x_{4} & +  0.07 x_{9} & -0.03 x_{21} & +  0.12 x_{1} & +  0.05 x_{29} & -0.55 x_{10} & -0.02 x_{20} & -0.08 x_{19} & +  0.03 x_{27} & -0.00 x_{24} & -0.04 x_{26} & +  0.02 x_{22}\\
 x_{23}   &  53.3926444232 & -0.18 x_{25} & +  0.12 x_{30} & -0.08 x_{17} & -3.71 x_{4} & -8.72 x_{9} & -0.49 x_{21} & + 22.31 x_{1} & +  1.90 x_{29} & -12.92 x_{10} & -0.86 x_{20} & -1.98 x_{19} & -0.06 x_{27} & -0.75 x_{24} & +  0.26 x_{26} & -1.04 x_{22}\\
 x_{15}   &  2.28530637752 & -0.01 x_{25} & +  0.05 x_{30} & +  0.01 x_{17} & +  0.39 x_{4} & +  0.09 x_{9} & -0.04 x_{21} & +  0.44 x_{1} & +  0.06 x_{29} & -0.10 x_{10} & -0.01 x_{20} & -0.01 x_{19} & +  0.02 x_{27} & +  0.01 x_{24} & +  0.02 x_{26} & -0.03 x_{22}\\
 x_{12}   &  1.37459090956 & +  0.00 x_{25} & -0.01 x_{30} & +  0.02 x_{17} & -0.16 x_{4} & -0.46 x_{9} & +  0.04 x_{21} & -0.29 x_{1} & -0.02 x_{29} & +  0.41 x_{10} & -0.02 x_{20} & +  0.06 x_{19} & -0.00 x_{27} & +  0.02 x_{24} & -0.04 x_{26} & +  0.02 x_{22}\\
 x_{6}   &  3.86760580303 & -0.05 x_{25} & -0.07 x_{30} & -0.14 x_{17} & -0.14 x_{4} & -1.52 x_{9} & +  0.00 x_{21} & -0.17 x_{1} & -0.01 x_{29} & -0.75 x_{10} & +  0.04 x_{20} & -0.03 x_{19} & -0.07 x_{27} & -0.16 x_{24} & +  0.03 x_{26} & +  0.02 x_{22}\\
 x_{16}   &  5.4619286457 & +  0.75 x_{25} & +  0.98 x_{30} & +  1.91 x_{17} & -26.54 x_{4} & +  9.68 x_{9} & +  0.70 x_{21} & -17.18 x_{1} & -0.32 x_{29} & -1.13 x_{10} & -1.13 x_{20} & +  0.77 x_{19} & +  1.21 x_{27} & +  1.40 x_{24} & +  0.07 x_{26} & -0.82 x_{22}\\
 x_{14}   &  4.60122834797 & -0.02 x_{25} & -0.03 x_{30} & -0.09 x_{17} & +  0.74 x_{4} & -0.30 x_{9} & -0.06 x_{21} & +  0.72 x_{1} & +  0.05 x_{29} & -0.86 x_{10} & +  0.01 x_{20} & -0.05 x_{19} & -0.02 x_{27} & -0.02 x_{24} & -0.02 x_{26} & +  0.00 x_{22}\\
 x_{13}   &  5.32941759972 & -0.04 x_{25} & -0.04 x_{30} & -0.08 x_{17} & -0.32 x_{4} & -1.61 x_{9} & +  0.03 x_{21} & +  0.13 x_{1} & +  0.02 x_{29} & -0.93 x_{10} & -0.03 x_{20} & -0.05 x_{19} & -0.03 x_{27} & -0.08 x_{24} & +  0.02 x_{26} & -0.00 x_{22}\\
 x_{5}   &  6.55965853493 & -0.06 x_{25} & -0.02 x_{30} & -0.09 x_{17} & -0.30 x_{4} & -1.05 x_{9} & -0.01 x_{21} & -0.26 x_{1} & +  0.02 x_{29} & -1.28 x_{10} & -0.01 x_{20} & -0.08 x_{19} & -0.05 x_{27} & -0.13 x_{24} & +  0.00 x_{26} & +  0.00 x_{22}\\
 x_{8}   &  3.80400963526 & +  0.03 x_{25} & +  0.01 x_{30} & -0.05 x_{17} & -0.58 x_{4} & -0.24 x_{9} & -0.03 x_{21} & -0.23 x_{1} & +  0.01 x_{29} & -0.80 x_{10} & -0.03 x_{20} & -0.07 x_{19} & +  0.00 x_{27} & -0.02 x_{24} & +  0.00 x_{26} & +  0.02 x_{22}\\
 x_{11}   &  2.96911098605 & +  0.00 x_{25} & +  0.01 x_{30} & -0.07 x_{17} & +  0.25 x_{4} & -0.22 x_{9} & -0.01 x_{21} & +  0.49 x_{1} & +  0.04 x_{29} & -0.58 x_{10} & +  0.02 x_{20} & -0.06 x_{19} & -0.04 x_{27} & -0.03 x_{24} & +  0.01 x_{26} & -0.02 x_{22}\\
 x_{31}   &  31.5620053064 & -0.24 x_{25} & -0.54 x_{30} & -0.44 x_{17} & +  3.81 x_{4} & +  4.61 x_{9} & -0.31 x_{21} & +  5.18 x_{1} & +  0.66 x_{29} & -12.62 x_{10} & -0.13 x_{20} & -1.36 x_{19} & -0.66 x_{27} & -1.32 x_{24} & +  0.48 x_{26} & -0.09 x_{22}\\
\hline
z    &  49.4025714176 & -0.44 x_{25} & -0.08 x_{30} & -0.52 x_{17} & -6.69 x_{4} & -2.51 x_{9} & -0.08 x_{21} & -1.99 x_{1} & +  0.10 x_{29} & -9.38 x_{10} & -0.06 x_{20} & -0.28 x_{19} & +  0.02 x_{27} & -0.40 x_{24} & -0.06 x_{26} & -0.22 x_{22}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  22.0644444005 & -0.66 x_{25} & -0.31 x_{30} & -1.25 x_{17} & +  8.55 x_{4} & -9.84 x_{9} & +  0.07 x_{21} & +  1.43 x_{1} & -0.44 x_{29} & -1.72 x_{10} & +  0.58 x_{20} & +  0.00 x_{19} & -11.16 x_{2} & -0.78 x_{24} & +  0.17 x_{26} & +  0.64 x_{22}\\
 x_{18}   &  125.020559088 & +  0.20 x_{25} & -0.87 x_{30} & -1.06 x_{17} & -10.09 x_{4} & -22.81 x_{9} & -0.87 x_{21} & -6.71 x_{1} & +  2.00 x_{29} & -37.52 x_{10} & -1.29 x_{20} & -2.21 x_{19} & + 23.56 x_{2} & -1.88 x_{24} & -0.44 x_{26} & -0.55 x_{22}\\
 x_{28}   &  35.5267380298 & -1.03 x_{25} & +  0.03 x_{30} & -0.62 x_{17} & +  4.66 x_{4} & -9.66 x_{9} & -0.22 x_{21} & -6.54 x_{1} & -0.07 x_{29} & -2.27 x_{10} & +  0.18 x_{20} & -0.09 x_{19} & +  3.12 x_{2} & -0.62 x_{24} & +  0.09 x_{26} & -0.13 x_{22}\\
 x_{3}   &  0.610872299244 & +  0.04 x_{25} & -0.03 x_{30} & +  0.03 x_{17} & -0.09 x_{4} & -0.20 x_{9} & -0.03 x_{21} & +  0.70 x_{1} & +  0.11 x_{29} & -0.87 x_{10} & -0.06 x_{20} & -0.08 x_{19} & +  0.74 x_{2} & -0.02 x_{24} & -0.00 x_{26} & -0.03 x_{22}\\
 x_{7}   &  4.23909807117 & -0.03 x_{25} & +  0.01 x_{30} & -0.05 x_{17} & +  0.48 x_{4} & -0.21 x_{9} & -0.03 x_{21} & +  0.16 x_{1} & +  0.04 x_{29} & -0.60 x_{10} & -0.00 x_{20} & -0.08 x_{19} & -0.31 x_{2} & -0.02 x_{24} & -0.03 x_{26} & +  0.04 x_{22}\\
 x_{23}   &  52.0691364326 & -0.14 x_{25} & +  0.14 x_{30} & -0.01 x_{17} & -4.22 x_{4} & -8.13 x_{9} & -0.49 x_{21} & + 22.22 x_{1} & +  1.93 x_{29} & -12.81 x_{10} & -0.89 x_{20} & -1.98 x_{19} & +  0.67 x_{2} & -0.70 x_{24} & +  0.25 x_{26} & -1.07 x_{22}\\
 x_{15}   &  2.82123338856 & -0.02 x_{25} & +  0.04 x_{30} & -0.02 x_{17} & +  0.59 x_{4} & -0.15 x_{9} & -0.04 x_{21} & +  0.47 x_{1} & +  0.05 x_{29} & -0.14 x_{10} & +  0.00 x_{20} & -0.01 x_{19} & -0.27 x_{2} & -0.01 x_{24} & +  0.02 x_{26} & -0.01 x_{22}\\
 x_{12}   &  1.31318769475 & +  0.01 x_{25} & -0.01 x_{30} & +  0.02 x_{17} & -0.19 x_{4} & -0.43 x_{9} & +  0.04 x_{21} & -0.30 x_{1} & -0.01 x_{29} & +  0.41 x_{10} & -0.02 x_{20} & +  0.06 x_{19} & +  0.03 x_{2} & +  0.02 x_{24} & -0.04 x_{26} & +  0.02 x_{22}\\
 x_{6}   &  2.31544433739 & -0.01 x_{25} & -0.05 x_{30} & -0.05 x_{17} & -0.74 x_{4} & -0.83 x_{9} & -0.00 x_{21} & -0.27 x_{1} & +  0.02 x_{29} & -0.63 x_{10} & -0.00 x_{20} & -0.03 x_{19} & +  0.79 x_{2} & -0.11 x_{24} & +  0.02 x_{26} & -0.02 x_{22}\\
 x_{16}   &  32.2562577124 & -0.05 x_{25} & +  0.60 x_{30} & +  0.39 x_{17} & -16.16 x_{4} & -2.28 x_{9} & +  0.79 x_{21} & -15.45 x_{1} & -0.86 x_{29} & -3.21 x_{10} & -0.42 x_{20} & +  0.78 x_{19} & -13.55 x_{2} & +  0.45 x_{24} & +  0.28 x_{26} & -0.04 x_{22}\\
 x_{14}   &  4.05240454908 & -0.01 x_{25} & -0.02 x_{30} & -0.06 x_{17} & +  0.53 x_{4} & -0.05 x_{9} & -0.07 x_{21} & +  0.68 x_{1} & +  0.06 x_{29} & -0.82 x_{10} & -0.01 x_{20} & -0.05 x_{19} & +  0.28 x_{2} & -0.00 x_{24} & -0.03 x_{26} & -0.01 x_{22}\\
 x_{13}   &  4.63147288466 & -0.02 x_{25} & -0.03 x_{30} & -0.04 x_{17} & -0.59 x_{4} & -1.30 x_{9} & +  0.02 x_{21} & +  0.09 x_{1} & +  0.03 x_{29} & -0.87 x_{10} & -0.05 x_{20} & -0.05 x_{19} & +  0.35 x_{2} & -0.06 x_{24} & +  0.02 x_{26} & -0.02 x_{22}\\
 x_{5}   &  5.37387925809 & -0.03 x_{25} & -0.01 x_{30} & -0.02 x_{17} & -0.76 x_{4} & -0.52 x_{9} & -0.02 x_{21} & -0.33 x_{1} & +  0.05 x_{29} & -1.19 x_{10} & -0.04 x_{20} & -0.08 x_{19} & +  0.60 x_{2} & -0.09 x_{24} & -0.01 x_{26} & -0.03 x_{22}\\
 x_{8}   &  3.88024558301 & +  0.03 x_{25} & +  0.01 x_{30} & -0.06 x_{17} & -0.55 x_{4} & -0.28 x_{9} & -0.03 x_{21} & -0.23 x_{1} & +  0.01 x_{29} & -0.80 x_{10} & -0.03 x_{20} & -0.07 x_{19} & -0.04 x_{2} & -0.02 x_{24} & +  0.00 x_{26} & +  0.02 x_{22}\\
 x_{11}   &  2.17749179676 & +  0.02 x_{25} & +  0.02 x_{30} & -0.02 x_{17} & -0.06 x_{4} & +  0.14 x_{9} & -0.01 x_{21} & +  0.44 x_{1} & +  0.05 x_{29} & -0.52 x_{10} & -0.00 x_{20} & -0.06 x_{19} & +  0.40 x_{2} & +  0.00 x_{24} & +  0.00 x_{26} & -0.05 x_{22}\\
 x_{31}   &  17.1056059855 & +  0.19 x_{25} & -0.34 x_{30} & +  0.38 x_{17} & -1.79 x_{4} & + 11.06 x_{9} & -0.35 x_{21} & +  4.25 x_{1} & +  0.95 x_{29} & -11.50 x_{10} & -0.51 x_{20} & -1.36 x_{19} & +  7.31 x_{2} & -0.81 x_{24} & +  0.37 x_{26} & -0.51 x_{22}\\
\hline
z    &  49.8276779149 & -0.46 x_{25} & -0.08 x_{30} & -0.55 x_{17} & -6.52 x_{4} & -2.70 x_{9} & -0.08 x_{21} & -1.96 x_{1} & +  0.09 x_{29} & -9.41 x_{10} & -0.05 x_{20} & -0.28 x_{19} & -0.22 x_{2} & -0.42 x_{24} & -0.06 x_{26} & -0.21 x_{22}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{27}   &  5.47344375784 & -0.64 x_{25} & -0.62 x_{30} & -1.45 x_{17} & + 16.86 x_{4} & -8.67 x_{9} & -0.33 x_{21} & +  9.37 x_{1} & +  0.51 x_{16} & -0.06 x_{10} & +  0.80 x_{20} & -0.39 x_{19} & -4.19 x_{2} & -1.01 x_{24} & +  0.03 x_{26} & +  0.67 x_{22}\\
 x_{18}   &  200.086538687 & +  0.08 x_{25} & +  0.52 x_{30} & -0.15 x_{17} & -47.69 x_{4} & -28.11 x_{9} & +  0.96 x_{21} & -42.66 x_{1} & -2.33 x_{16} & -45.00 x_{10} & -2.26 x_{20} & -0.41 x_{19} & -7.97 x_{2} & -0.82 x_{24} & +  0.21 x_{26} & -0.65 x_{22}\\
 x_{28}   &  33.066858528 & -1.02 x_{25} & -0.02 x_{30} & -0.65 x_{17} & +  5.89 x_{4} & -9.48 x_{9} & -0.28 x_{21} & -5.36 x_{1} & +  0.08 x_{16} & -2.03 x_{10} & +  0.21 x_{20} & -0.15 x_{19} & +  4.15 x_{2} & -0.66 x_{24} & +  0.07 x_{26} & -0.13 x_{22}\\
 x_{3}   &  4.6882795361 & +  0.03 x_{25} & +  0.04 x_{30} & +  0.08 x_{17} & -2.13 x_{4} & -0.49 x_{9} & +  0.07 x_{21} & -1.26 x_{1} & -0.13 x_{16} & -1.28 x_{10} & -0.12 x_{20} & +  0.02 x_{19} & -0.97 x_{2} & +  0.04 x_{24} & +  0.03 x_{26} & -0.04 x_{22}\\
 x_{7}   &  5.81911371558 & -0.03 x_{25} & +  0.04 x_{30} & -0.03 x_{17} & -0.31 x_{4} & -0.32 x_{9} & +  0.01 x_{21} & -0.60 x_{1} & -0.05 x_{16} & -0.76 x_{10} & -0.03 x_{20} & -0.04 x_{19} & -0.97 x_{2} & -0.00 x_{24} & -0.02 x_{26} & +  0.04 x_{22}\\
 x_{23}   &  124.362821819 & -0.25 x_{25} & +  1.47 x_{30} & +  0.86 x_{17} & -40.44 x_{4} & -13.23 x_{9} & +  1.27 x_{21} & -12.41 x_{1} & -2.24 x_{16} & -20.01 x_{10} & -1.83 x_{20} & -0.24 x_{19} & -29.71 x_{2} & +  0.31 x_{24} & +  0.87 x_{26} & -1.16 x_{22}\\
 x_{15}   &  4.84032270159 & -0.03 x_{25} & +  0.08 x_{30} & +  0.00 x_{17} & -0.42 x_{4} & -0.29 x_{9} & +  0.01 x_{21} & -0.50 x_{1} & -0.06 x_{16} & -0.34 x_{10} & -0.02 x_{20} & +  0.03 x_{19} & -1.12 x_{2} & +  0.02 x_{24} & +  0.04 x_{26} & -0.02 x_{22}\\
 x_{12}   &  0.788691135308 & +  0.01 x_{25} & -0.02 x_{30} & +  0.01 x_{17} & +  0.08 x_{4} & -0.40 x_{9} & +  0.03 x_{21} & -0.05 x_{1} & +  0.02 x_{16} & +  0.47 x_{10} & -0.01 x_{20} & +  0.04 x_{19} & +  0.25 x_{2} & +  0.01 x_{24} & -0.05 x_{26} & +  0.02 x_{22}\\
 x_{6}   &  3.16335841034 & -0.01 x_{25} & -0.03 x_{30} & -0.04 x_{17} & -1.17 x_{4} & -0.89 x_{9} & +  0.02 x_{21} & -0.68 x_{1} & -0.03 x_{16} & -0.72 x_{10} & -0.01 x_{20} & -0.01 x_{19} & +  0.43 x_{2} & -0.09 x_{24} & +  0.03 x_{26} & -0.02 x_{22}\\
 x_{29}   &  37.5330864683 & -0.06 x_{25} & +  0.69 x_{30} & +  0.45 x_{17} & -18.80 x_{4} & -2.65 x_{9} & +  0.91 x_{21} & -17.98 x_{1} & -1.16 x_{16} & -3.74 x_{10} & -0.49 x_{20} & +  0.90 x_{19} & -15.77 x_{2} & +  0.53 x_{24} & +  0.32 x_{26} & -0.05 x_{22}\\
 x_{14}   &  6.33138278041 & -0.01 x_{25} & +  0.02 x_{30} & -0.03 x_{17} & -0.61 x_{4} & -0.21 x_{9} & -0.01 x_{21} & -0.41 x_{1} & -0.07 x_{16} & -1.05 x_{10} & -0.03 x_{20} & +  0.01 x_{19} & -0.68 x_{2} & +  0.03 x_{24} & -0.01 x_{26} & -0.02 x_{22}\\
 x_{13}   &  5.93968635549 & -0.02 x_{25} & -0.00 x_{30} & -0.02 x_{17} & -1.25 x_{4} & -1.39 x_{9} & +  0.06 x_{21} & -0.54 x_{1} & -0.04 x_{16} & -1.00 x_{10} & -0.06 x_{20} & -0.02 x_{19} & -0.20 x_{2} & -0.04 x_{24} & +  0.03 x_{26} & -0.02 x_{22}\\
 x_{5}   &  7.12775625471 & -0.03 x_{25} & +  0.03 x_{30} & -0.00 x_{17} & -1.64 x_{4} & -0.65 x_{9} & +  0.02 x_{21} & -1.17 x_{1} & -0.05 x_{16} & -1.36 x_{10} & -0.07 x_{20} & -0.03 x_{19} & -0.14 x_{2} & -0.06 x_{24} & +  0.01 x_{26} & -0.04 x_{22}\\
 x_{8}   &  4.29959478637 & +  0.03 x_{25} & +  0.01 x_{30} & -0.05 x_{17} & -0.76 x_{4} & -0.31 x_{9} & -0.02 x_{21} & -0.43 x_{1} & -0.01 x_{16} & -0.84 x_{10} & -0.04 x_{20} & -0.06 x_{19} & -0.21 x_{2} & -0.02 x_{24} & +  0.00 x_{26} & +  0.02 x_{22}\\
 x_{11}   &  4.09490792122 & +  0.02 x_{25} & +  0.06 x_{30} & +  0.00 x_{17} & -1.02 x_{4} & +  0.00 x_{9} & +  0.03 x_{21} & -0.48 x_{1} & -0.06 x_{16} & -0.71 x_{10} & -0.03 x_{20} & -0.01 x_{19} & -0.41 x_{2} & +  0.03 x_{24} & +  0.02 x_{26} & -0.05 x_{22}\\
 x_{31}   &  52.8054715511 & +  0.14 x_{25} & +  0.32 x_{30} & +  0.81 x_{17} & -19.67 x_{4} & +  8.54 x_{9} & +  0.52 x_{21} & -12.85 x_{1} & -1.11 x_{16} & -15.05 x_{10} & -0.97 x_{20} & -0.50 x_{19} & -7.69 x_{2} & -0.31 x_{24} & +  0.67 x_{26} & -0.55 x_{22}\\
\hline
z    &  53.1283191191 & -0.46 x_{25} & -0.02 x_{30} & -0.51 x_{17} & -8.18 x_{4} & -2.94 x_{9} & +  0.00 x_{21} & -3.54 x_{1} & -0.10 x_{16} & -9.74 x_{10} & -0.09 x_{20} & -0.20 x_{19} & -1.60 x_{2} & -0.37 x_{24} & -0.03 x_{26} & -0.21 x_{22}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{21}   &  16.5118004516 & -1.92 x_{25} & -1.87 x_{30} & -4.38 x_{17} & + 50.86 x_{4} & -26.16 x_{9} & -3.02 x_{27} & + 28.28 x_{1} & +  1.55 x_{16} & -0.19 x_{10} & +  2.41 x_{20} & -1.19 x_{19} & -12.64 x_{2} & -3.05 x_{24} & +  0.08 x_{26} & +  2.01 x_{22}\\
 x_{18}   &  215.996468875 & -1.76 x_{25} & -1.29 x_{30} & -4.37 x_{17} & +  1.31 x_{4} & -53.31 x_{9} & -2.91 x_{27} & -15.42 x_{1} & -0.83 x_{16} & -45.18 x_{10} & +  0.06 x_{20} & -1.55 x_{19} & -20.15 x_{2} & -3.77 x_{24} & +  0.29 x_{26} & +  1.29 x_{22}\\
 x_{28}   &  28.5152769601 & -0.49 x_{25} & +  0.50 x_{30} & +  0.56 x_{17} & -8.13 x_{4} & -2.27 x_{9} & +  0.83 x_{27} & -13.15 x_{1} & -0.35 x_{16} & -1.97 x_{10} & -0.45 x_{20} & +  0.18 x_{19} & +  7.63 x_{2} & +  0.19 x_{24} & +  0.04 x_{26} & -0.68 x_{22}\\
 x_{3}   &  5.81723362525 & -0.10 x_{25} & -0.09 x_{30} & -0.22 x_{17} & +  1.35 x_{4} & -2.28 x_{9} & -0.21 x_{27} & +  0.68 x_{1} & -0.02 x_{16} & -1.29 x_{10} & +  0.05 x_{20} & -0.07 x_{19} & -1.84 x_{2} & -0.17 x_{24} & +  0.04 x_{26} & +  0.10 x_{22}\\
 x_{7}   &  5.94270717513 & -0.04 x_{25} & +  0.02 x_{30} & -0.06 x_{17} & +  0.07 x_{4} & -0.52 x_{9} & -0.02 x_{27} & -0.39 x_{1} & -0.04 x_{16} & -0.76 x_{10} & -0.01 x_{20} & -0.05 x_{19} & -1.07 x_{2} & -0.02 x_{24} & -0.02 x_{26} & +  0.05 x_{22}\\
 x_{23}   &  145.31896368 & -2.68 x_{25} & -0.91 x_{30} & -4.69 x_{17} & + 24.11 x_{4} & -46.43 x_{9} & -3.83 x_{27} & + 23.48 x_{1} & -0.27 x_{16} & -20.26 x_{10} & +  1.22 x_{20} & -1.75 x_{19} & -45.75 x_{2} & -3.56 x_{24} & +  0.98 x_{26} & +  1.38 x_{22}\\
 x_{15}   &  4.99582904185 & -0.05 x_{25} & +  0.06 x_{30} & -0.04 x_{17} & +  0.06 x_{4} & -0.54 x_{9} & -0.03 x_{27} & -0.23 x_{1} & -0.05 x_{16} & -0.34 x_{10} & -0.00 x_{20} & +  0.02 x_{19} & -1.24 x_{2} & -0.01 x_{24} & +  0.04 x_{26} & +  0.00 x_{22}\\
 x_{12}   &  1.24677979098 & -0.05 x_{25} & -0.07 x_{30} & -0.11 x_{17} & +  1.49 x_{4} & -1.12 x_{9} & -0.08 x_{27} & +  0.74 x_{1} & +  0.06 x_{16} & +  0.46 x_{10} & +  0.05 x_{20} & +  0.01 x_{19} & -0.10 x_{2} & -0.07 x_{24} & -0.04 x_{26} & +  0.07 x_{22}\\
 x_{6}   &  3.44754286181 & -0.04 x_{25} & -0.06 x_{30} & -0.11 x_{17} & -0.29 x_{4} & -1.34 x_{9} & -0.05 x_{27} & -0.19 x_{1} & +  0.00 x_{16} & -0.72 x_{10} & +  0.03 x_{20} & -0.03 x_{19} & +  0.21 x_{2} & -0.15 x_{24} & +  0.03 x_{26} & +  0.01 x_{22}\\
 x_{29}   &  52.6372705261 & -1.81 x_{25} & -1.02 x_{30} & -3.55 x_{17} & + 27.72 x_{4} & -26.58 x_{9} & -2.76 x_{27} & +  7.89 x_{1} & +  0.26 x_{16} & -3.91 x_{10} & +  1.71 x_{20} & -0.18 x_{19} & -27.33 x_{2} & -2.27 x_{24} & +  0.40 x_{26} & +  1.79 x_{22}\\
 x_{14}   &  6.16817049708 & +  0.01 x_{25} & +  0.04 x_{30} & +  0.02 x_{17} & -1.11 x_{4} & +  0.04 x_{9} & +  0.03 x_{27} & -0.69 x_{1} & -0.09 x_{16} & -1.05 x_{10} & -0.06 x_{20} & +  0.02 x_{19} & -0.56 x_{2} & +  0.06 x_{24} & -0.01 x_{26} & -0.04 x_{22}\\
 x_{13}   &  6.87524839491 & -0.13 x_{25} & -0.11 x_{30} & -0.27 x_{17} & +  1.63 x_{4} & -2.87 x_{9} & -0.17 x_{27} & +  1.06 x_{1} & +  0.05 x_{16} & -1.01 x_{10} & +  0.07 x_{20} & -0.08 x_{19} & -0.91 x_{2} & -0.21 x_{24} & +  0.03 x_{26} & +  0.09 x_{22}\\
 x_{5}   &  7.52383458067 & -0.08 x_{25} & -0.02 x_{30} & -0.11 x_{17} & -0.42 x_{4} & -1.27 x_{9} & -0.07 x_{27} & -0.49 x_{1} & -0.02 x_{16} & -1.36 x_{10} & -0.01 x_{20} & -0.06 x_{19} & -0.44 x_{2} & -0.14 x_{24} & +  0.01 x_{26} & +  0.01 x_{22}\\
 x_{8}   &  4.00113797502 & +  0.06 x_{25} & +  0.05 x_{30} & +  0.03 x_{17} & -1.68 x_{4} & +  0.16 x_{9} & +  0.05 x_{27} & -0.94 x_{1} & -0.04 x_{16} & -0.84 x_{10} & -0.08 x_{20} & -0.04 x_{19} & +  0.01 x_{2} & +  0.04 x_{24} & +  0.00 x_{26} & -0.02 x_{22}\\
 x_{11}   &  4.66819054617 & -0.05 x_{25} & -0.01 x_{30} & -0.15 x_{17} & +  0.75 x_{4} & -0.91 x_{9} & -0.10 x_{27} & +  0.50 x_{1} & -0.01 x_{16} & -0.72 x_{10} & +  0.06 x_{20} & -0.05 x_{19} & -0.84 x_{2} & -0.08 x_{24} & +  0.02 x_{26} & +  0.02 x_{22}\\
 x_{31}   &  61.3399067809 & -0.85 x_{25} & -0.65 x_{30} & -1.45 x_{17} & +  6.62 x_{4} & -4.99 x_{9} & -1.56 x_{27} & +  1.76 x_{1} & -0.30 x_{16} & -15.15 x_{10} & +  0.27 x_{20} & -1.11 x_{19} & -14.22 x_{2} & -1.89 x_{24} & +  0.72 x_{26} & +  0.48 x_{22}\\
\hline
z    &  53.2020275579 & -0.47 x_{25} & -0.03 x_{30} & -0.53 x_{17} & -7.95 x_{4} & -3.05 x_{9} & -0.01 x_{27} & -3.42 x_{1} & -0.10 x_{16} & -9.74 x_{10} & -0.08 x_{20} & -0.20 x_{19} & -1.66 x_{2} & -0.39 x_{24} & -0.03 x_{26} & -0.20 x_{22}\\
\end{array}\]
Final Dictionary
Solution:  53.2020275579
Num Pivots:  28
\end{document}
